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Paper Citation Record · LEDGER

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters

As of 12 August 2026, this Paper Citation Record lists 100 of 106 outbound references and 1 inbound Pith citation observation for arXiv:2607.27131.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.27131 v1

Coverage vector

measured 100 of 106 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-30T12:17:59.214809Z

measured 101 of 101 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:44:08.708999Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T10:44:11.043993Z

Reference resolution

100 of 106 outbound references displayed

  • verified exact26
  • verified fuzzy0
  • unresolved71
  • parse uncertain3
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b434b3bf-9d7f-4144-9738-62888a7d33c5 · outbound

This paper cites International Mathematics Research Notices , year =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters International Mathematics Research Notices , year =

Reference 1

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:57.874844Z digest=sha256:08b98b885325e66abf00a5c708f5499214cfaad8bd8fbf8c0f01cd007be9bdde

Observation 8a3219ce-3122-471a-aa56-3ab70871057e · outbound

This paper cites Estimation de sommes multiples de fonctions arithm.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Estimation de sommes multiples de fonctions arithm

Reference 2

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source=arxiv_source observed=2026-07-30T12:17:57.915210Z digest=sha256:3f0f39a302d8c9824aa6346712dca6c490a3bf9db49a79389b54ed64a67957d5

Observation 3819708f-debc-40e8-ba58-ff1c79d46ffd · outbound

This paper cites Journal f.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Journal f

Reference 3

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no resolver link, observed 2026-07-30T12:17:57.946197Z

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source=arxiv_source observed=2026-07-30T12:17:57.946197Z digest=sha256:8ab2641f8917650acedf09ed9bf9962b238dff966261cce07316407d5be003a3

Observation 5138c891-d272-4561-9dac-3f3900f715fb · outbound

This paper cites Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory , series =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory , series =

Reference 4

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source=arxiv_source observed=2026-07-30T12:17:57.961330Z digest=sha256:36ac4c57492d6ca5d103196e6d20ffabfc29446cb92d44632a69388194637586

Observation 67d8c7f9-8635-449b-8354-6593b662e51c · outbound

This paper cites Annals of Mathematics , series =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Annals of Mathematics , series =

Reference 5

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source=arxiv_source observed=2026-07-30T12:17:57.966310Z digest=sha256:4fba240e1f1371fa7b22148e88a975a21cd0abe1d2282a83ad4c95739991ad02

Observation 58236868-a97a-42f9-9bae-c566c369c145 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 6

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source=arxiv_source observed=2026-07-30T12:17:57.971397Z digest=sha256:7b866d0dd2809aaac23637cd74be5ae676c2756ef6e31f8a3f236f38c7647037

Observation 758f5532-f898-4a6b-9d6c-5597a9bca75b · outbound

This paper cites , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters , title =

Reference 7

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source=arxiv_source observed=2026-07-30T12:17:57.976084Z digest=sha256:1b52b9381239db2f7575497ad35187369455d151a4cf9efa0dcbbbbdc69dc502

Observation 5a9c1c0f-1f06-40eb-ab23-67748bc8d067 · outbound

This paper cites Brian and Farmer, David W.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Brian and Farmer, David W

Reference 8

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source=arxiv_source observed=2026-07-30T12:17:57.980407Z digest=sha256:a5ccd050bf1fbc9598845642528fb421ed4d356667f2caf5988c83691b4508e1

Observation da48ebf6-cf77-42f2-86b6-47003363b018 · outbound

This paper cites 2024 , eprint =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters 2024 , eprint =

Reference 9

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source=arxiv_source observed=2026-07-30T12:17:57.984796Z digest=sha256:3195f41c202249bcdb7afc59ac612ead42210ab6e14dae3e607bba1481d3e24f

Observation 5350c6ca-6da3-42b0-9ef5-61c5c07b99dc · outbound

This paper cites 2026 , eprint =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters 2026 , eprint =

Reference 10

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source=arxiv_source observed=2026-07-30T12:17:57.995727Z digest=sha256:c5c17a023ba37d151e238ba3dd0160e2284f964cb7d438a18881c232c0ca0a89

Observation 58802f59-156a-4d86-887f-e816e8624358 · outbound

This paper cites Inventiones Mathematicae , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Inventiones Mathematicae , volume =

Reference 11

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source=arxiv_source observed=2026-07-30T12:17:58.016107Z digest=sha256:ea78fa8fbe9caaed083894ab72e371a3a3f402a804d211c95e0b5ab849745f0a

Observation 42a023d0-6cbe-41b3-9c0f-9126ee49d63d · outbound

This paper cites Journal of Number Theory , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Journal of Number Theory , volume =

Reference 12

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source=arxiv_source observed=2026-07-30T12:17:58.044781Z digest=sha256:574b459549cb11bba67ee861130d5926933f21e7bf3b831f86ff92dff9752f5c

Observation cb25e7d8-c12a-45c2-9ac9-dc499ccf5bd0 · outbound

This paper cites Journal of the European Mathematical Society , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Journal of the European Mathematical Society , volume =

Reference 13

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source=arxiv_source observed=2026-07-30T12:17:58.095014Z digest=sha256:d99d4a725eaf5ef6c8f94f9bb8bf19fadf940301e80503a7b3dcb67028cfedc0

Observation ae380e6e-22fd-4a73-a0c2-2640f3d0cd09 · outbound

This paper cites Mathematische Annalen , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Mathematische Annalen , volume =

Reference 14

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no resolver link, observed 2026-07-30T12:17:58.134803Z

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source=arxiv_source observed=2026-07-30T12:17:58.134803Z digest=sha256:86b5527305737100b67dd88b2742661a1cb951b5db730707eb86e1b4f9319b45

Observation 8b428296-b6f3-4a36-a4f4-27107f3e91b6 · outbound

This paper cites A quadratic large sieve inequality over number fields , journal =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters A quadratic large sieve inequality over number fields , journal =

Reference 15

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source=arxiv_source observed=2026-07-30T12:17:58.184860Z digest=sha256:bfa99bc23eee7d817515e5aa647fb62d2634dace08d4550bcf9db260f6507abc

Observation 041d9a23-c18a-4364-93d3-12ba4c7b746b · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 16

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source=arxiv_source observed=2026-07-30T12:17:58.201971Z digest=sha256:9517fbeefa1abe9bc9b818336be97d02deddb13b823acd6d239db3275d6d4704

Observation fff462d6-c19c-43f0-86e6-54b71eccfb0e · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 17

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source=arxiv_source observed=2026-07-30T12:17:58.206581Z digest=sha256:c9b2bd588af96159f12d8fbb0073a26f7b9be2ea9d18d3a4d60b14966396f94c

Observation 4fbb3d2f-77d8-4e57-bd46-a867ee674128 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 18

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no resolver link, observed 2026-07-30T12:17:58.211708Z

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source=arxiv_source observed=2026-07-30T12:17:58.211708Z digest=sha256:a985106b571e69d1a276ec00c752ebb3d277373fe176e73f1c9d2c8b04cd86b9

Observation 5efc6da1-7485-4ad7-af89-028395ec52af · outbound

This paper cites and Patterson, S.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters and Patterson, S

Reference 19

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source=arxiv_source observed=2026-07-30T12:17:58.224811Z digest=sha256:4bb85f8b7e16cc5d4312d841f52a806f6a49670a0a7259920e9aca7229d2fd88

Observation 26bc62a8-60b6-4b81-89ad-04fab8c1ace9 · outbound

This paper cites Algebraic Number Theory , series =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Algebraic Number Theory , series =

Reference 20

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source=arxiv_source observed=2026-07-30T12:17:58.244784Z digest=sha256:22cbfd5162e4b0ace5f20cd2b53fa8198b45179a7b9057456a3b3cf6237601ef

Observation 7fa6fc72-cfe5-4f10-a270-426173037751 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 21

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no resolver link, observed 2026-07-30T12:17:58.294762Z

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source=arxiv_source observed=2026-07-30T12:17:58.294762Z digest=sha256:380baf643cfe82d7bb30d0041d5ae0024151955edf6a397c080bde6b4de076d5

Observation b990881f-1021-4217-8d97-cc4fddfcab0c · outbound

This paper cites Annals of Mathematics , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Annals of Mathematics , volume =

Reference 22

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source=arxiv_source observed=2026-07-30T12:17:58.324769Z digest=sha256:a862525eebc652c9c7596d196d3ea5bf7dff7b3ffa0fc0605249345e34c537f6

Observation 33190934-6727-443a-82a4-12b289848cf0 · outbound

This paper cites Bias in cubic.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Bias in cubic

Reference 23

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source=arxiv_source observed=2026-07-30T12:17:58.345080Z digest=sha256:f109b97ae003e24aa5c0d4183b6fb7471a1f8dde705491b63bf027b119c45c74

Observation 0c1c77bc-9f04-43fd-9ecf-97803054b2f4 · outbound

This paper cites and Patterson, S.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters and Patterson, S

Reference 24

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source=arxiv_source observed=2026-07-30T12:17:58.374852Z digest=sha256:6f18bfe509a1624e9997f2415da420fce455e3d4bda25963cde72fbe9a0205bf

Observation 0bdad9bc-a9a5-49bf-a3c4-c60967b63a1e · outbound

This paper cites Brian and Iwaniec, Henryk and Soundararajan, Kannan , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Brian and Iwaniec, Henryk and Soundararajan, Kannan , title =

Reference 25

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.431755Z digest=sha256:d3c59aacb7835a9320954195b8854349976883f1bb6cd1508c7c85b09e1e6975

Observation cffc3c69-e50c-4795-a526-56222290baac · outbound

This paper cites , TITLE =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters , TITLE =

Reference 26

Resolution
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doi, observed 2026-07-30T12:21:04.850451Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.534768Z digest=sha256:e95838fc1decdc199aa919542dfdc3a75a665e8f94c1bbb9198340fe00ed9db3

Observation a400014d-da5a-4784-95d4-f778f91a814e · outbound

This paper cites Mathematische Zeitschrift , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Mathematische Zeitschrift , volume =

Reference 27

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source=arxiv_source observed=2026-07-30T12:17:58.565381Z digest=sha256:f47c7c6fadb9bc4e5b765336c92cda45321dde8df6d5b43878936ae6e96b4d4d

Observation 86bea04e-87f2-43f7-be3a-3bd74a961080 · outbound

This paper cites Nonvanishing of.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Nonvanishing of

Reference 28

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.569749Z digest=sha256:02eded27a9b0ec39adc426962bcb9a63599d30e47542d730e35670b8299e4541

Observation 27528bec-3fea-493a-b906-13cd8d8c7fb2 · outbound

This paper cites On moments of twisted.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters On moments of twisted

Reference 29

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no resolver link, observed 2026-07-30T12:17:58.573619Z

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source=arxiv_source observed=2026-07-30T12:17:58.573619Z digest=sha256:a5c1f9b009cca94cfbbbf1fed3d6076fcb9580f0a5bf4a5b8ea7c5643dd530f8

Observation 92a0af61-f4d3-4fd3-bc76-6550562fd038 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 30

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no resolver link, observed 2026-07-30T12:17:58.584143Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.584143Z digest=sha256:9ea28fd422f57f2b4a6c8d68f5531d9b1c4b0c013ecf64d0d16250d46cc801c8

Observation 6712fad0-a118-4cd9-b2b0-40afdce2f5cf · outbound

This paper cites Mathematische Annalen , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Mathematische Annalen , volume =

Reference 31

Resolution
verified exact
doi, observed 2026-07-30T12:21:04.167806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.589540Z digest=sha256:854042e3fdb5e4c2d9118f8e858ec2d374520c3aa997a77d4cf6a08d4fe6e2c7

Observation 1f7c6b9f-c8a6-47d2-b6cb-7d312072488e · outbound

This paper cites Inventiones Mathematicae , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Inventiones Mathematicae , volume =

Reference 32

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verified exact
doi, observed 2026-07-30T12:21:04.009098Z

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source=arxiv_source observed=2026-07-30T12:17:58.593016Z digest=sha256:71d534b824c5c76cd2ebc95b60aeb826c5638722c05d840ff0647ccba52add06

Observation 74601c1f-16cf-4e88-b1aa-007352d4d294 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 33

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source=arxiv_source observed=2026-07-30T12:17:58.599210Z digest=sha256:3246f2e75abaad2e7fdd9253efd1ea2702c0f015f51081662314a5700a9d96df

Observation 89b35130-4b2c-44c9-b0c0-eba43fc81016 · outbound

This paper cites , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters , title =

Reference 34

Resolution
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doi, observed 2026-07-30T12:21:03.739102Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.611212Z digest=sha256:f3ada71f547fc0c7c5096b782c6a2f6ea7ec7a8ebaa748c096840a51dcf09ea5

Observation 8e95bbc0-0ebd-4ce6-b38c-51bf32372699 · outbound

This paper cites , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters , title =

Reference 35

Resolution
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doi, observed 2026-07-30T12:21:03.402645Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.614944Z digest=sha256:b159e85486f0840d515bdce78fa7d64bb54ea423756382f396de97d6b77cc8c6

Observation 9c22d275-6c68-42b9-a2f7-dbd41369b34e · outbound

This paper cites Inventiones Mathematicae , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Inventiones Mathematicae , volume =

Reference 36

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no resolver link, observed 2026-07-30T12:17:58.619398Z

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source=arxiv_source observed=2026-07-30T12:17:58.619398Z digest=sha256:4ea2ee0233d9dc8b631fc9d2d8fe05e14c70255803a0405cc4d6d54015977393

Observation 0b167486-b0ad-40db-86ba-9cbc71782949 · outbound

This paper cites 2024 , eprint =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters 2024 , eprint =

Reference 37

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source=arxiv_source observed=2026-07-30T12:17:58.623434Z digest=sha256:93c5c10fb39a026099b2d6b828b615eaddf107921669d98eba8171cded6ef0f9

Observation de175680-12fd-414c-bcf5-78d49258f309 · outbound

This paper cites 2025 , note =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters 2025 , note =

Reference 38

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.628174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.628174Z digest=sha256:f4222d6784d7c4347d68eaf71a2e388934dff01be208cc47c49f1493de87b1c8

Observation 038b513a-f0c7-4f12-8335-4243799e5e4a · outbound

This paper cites Analytic Number Theory , series =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Analytic Number Theory , series =

Reference 39

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.631622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.631622Z digest=sha256:82e8610de333b5850cc5e901accd896eba9cdefae36e9b2e505abb2361718e51

Observation 09e884df-f93e-48d8-8a44-85888e041753 · outbound

This paper cites , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters , title =

Reference 40

Resolution
verified exact
doi, observed 2026-07-30T12:21:03.238390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.635321Z digest=sha256:33f2e9fa226c641b364d874f537f14205fe9441d16f208a0e821960c23a01e8e

Observation e595ab2b-b89f-443c-887b-c6052c853159 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 41

Resolution
verified exact
doi, observed 2026-07-30T12:21:02.978586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.639064Z digest=sha256:19a1e89d53760a66521944c867c3425860947016897bb34ed1963b4d8a5ef379

Observation 0c5d1621-21d5-44a3-9972-9fcfdd1a445d · outbound

This paper cites Hyperelliptic curves, the scanning map, and moments of families of quadratic.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Hyperelliptic curves, the scanning map, and moments of families of quadratic

Reference 42

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.643040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.643040Z digest=sha256:6ad1d41c846f8a6290395126a1b6bc09d5a94cd28f6b437aea5a06ad7ea51b8a

Observation fc57a5a2-ba99-4041-b273-d55292532958 · outbound

This paper cites , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters , title =

Reference 43

Resolution
verified exact
doi, observed 2026-07-30T12:21:02.817838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.647184Z digest=sha256:0106d3d940519098d85b8e554bb816e44dd260481f7a83f4eeccfa66aeb6b615

Observation a16e995f-b975-4cd4-ae4d-0f35e3c157b1 · outbound

This paper cites , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters , title =

Reference 44

Resolution
verified exact
doi, observed 2026-07-30T12:21:02.697381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.652361Z digest=sha256:16575e145d0c93e0de10843f4fa59248e638b7e0a8d843d0dedb0d62f10886d0

Observation 969d8a61-d88f-4288-9fac-06d4dc30ba0c · outbound

This paper cites Indagationes Mathematicae , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Indagationes Mathematicae , volume =

Reference 45

Resolution
verified exact
doi, observed 2026-07-30T12:21:02.405810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.657700Z digest=sha256:b6f7986ae68e98328bc4ec637657a373cccf7c7e91ad6b2c885d018d31bd2b71

Observation d191d0f9-31a2-446c-b176-313f69b8e7e0 · outbound

This paper cites and Sarnak, Peter , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters and Sarnak, Peter , title =

Reference 46

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.663013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.663013Z digest=sha256:cfbaab8ae19e03d44630cafde1f46dc2e743aee6d2ee3b0c0ff5d59e5f56cb9b

Observation 57d184e3-a134-4906-94a1-a812d6189281 · outbound

This paper cites Analysis , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Analysis , volume =

Reference 47

Resolution
verified exact
doi, observed 2026-07-30T12:21:02.140706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.667218Z digest=sha256:133b2022b9eba8cbd34cc2bca8f45e716fe4298f222f7961f48bfc4b8b81da45

Observation 9603b0ec-71bd-462b-9f7c-1ba6d2c17eb2 · outbound

This paper cites and Li, Wanlin and Shusterman, Mark , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters and Li, Wanlin and Shusterman, Mark , title =

Reference 48

Resolution
verified exact
doi, observed 2026-07-30T12:21:01.942536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.671779Z digest=sha256:3c3a38b93c43e99eb22523fc605bc75c48f02152f14a4c1661f24c29a5bcd839

Observation 83d6a4c2-3a8f-4b41-9cfa-26c7aacc4ae5 · outbound

This paper cites Signs of.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Signs of

Reference 49

Resolution
verified exact
doi, observed 2026-07-30T12:21:01.780901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.678222Z digest=sha256:778e6e273aa91cfefb42f08ff7a392cc9b11f1eebfc6a4cef836ddd461d9a93e

Observation 822dbe17-14c3-4f01-ad4c-52949bac9072 · outbound

This paper cites , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters , title =

Reference 50

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.686566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.686566Z digest=sha256:75f19283554f5ddd9893f25d880cd1c1150a358a9fb4d221d25c7f8d5fdd0450

Observation 2d86faf1-5703-4a05-b3ea-783a5501ea37 · outbound

This paper cites Annals of Mathematics , series =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Annals of Mathematics , series =

Reference 51

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.691807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.691807Z digest=sha256:14a5862fdf0968931122764edfebe0da9a8b9121f547002447745791d83626e1

Observation e6484d3e-3687-4786-9666-886fcc5d2317 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 52

Resolution
verified exact
doi, observed 2026-07-30T12:21:01.511499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.699386Z digest=sha256:c14b3c224d7b13ea0a998fdf6da9c2b75e660e8b661f0ee3b3f511ebf72eb418

Observation 78b2bc1a-5074-4a75-96b3-ab5491d9a0e7 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 53

Resolution
verified exact
doi, observed 2026-07-30T12:21:01.326282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.725059Z digest=sha256:78e093d15e26de8505ee8e6ad21c1d207c3ddfd395b9f2e2ff2ff935d842b0d6

Observation 3340d41c-e8c7-4585-8747-c9495408836e · outbound

This paper cites Number Theory in Progress, Vol.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Number Theory in Progress, Vol

Reference 54

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.773428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.773428Z digest=sha256:fb14ef082ab9940739f2c03572030ec4871ad29a790d3780f9db379d75474b76

Observation 77543a8a-dcd9-44d6-bf75-6e6820b9e2e5 · outbound

This paper cites and Murty, V.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters and Murty, V

Reference 55

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.777223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.777223Z digest=sha256:39f4b73c608875956b5563abe8e14c9c4beec84703d1832bb4866078b81898c7

Observation 4746e31d-cbb3-4133-9e57-5f9ec183f8db · outbound

This paper cites Acta Arithmetica , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Acta Arithmetica , volume =

Reference 56

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.780408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.780408Z digest=sha256:1eab755161598d88d7f7c28447587ce830d0ce46f307a945a80eaaaa300aea1a

Observation fb39d0be-07a0-4d38-b423-c9cfe8320ebb · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 57

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.784129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.784129Z digest=sha256:5b89077aafde771f0232f3eb9a3b6e4856f4e23d45690e86ce7adce8124a2b51

Observation f382c81d-148d-462a-8159-1f6b52f6ab7c · outbound

This paper cites Compositio Mathematica , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Compositio Mathematica , volume =

Reference 58

Resolution
verified exact
doi, observed 2026-07-30T12:21:01.179918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.787557Z digest=sha256:c49f95139fde4e3898397d58e2de167fb26aad3c849f3f66c1b872c28da0dd07

Observation 020d6745-0eae-4551-9503-0933423b6d71 · outbound

This paper cites Non-vanishing of cubic.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Non-vanishing of cubic

Reference 59

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.791611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.791611Z digest=sha256:aa804f8171ca06755371c8f8a83a9a6bf3d68312b8f9c64573d4d79dbe8ca16c

Observation 36a193d3-8106-43de-beff-0108abb40a24 · outbound

This paper cites One-level density and non-vanishing for cubic.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters One-level density and non-vanishing for cubic

Reference 60

Resolution
verified exact
doi, observed 2026-07-30T12:21:00.894237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.794731Z digest=sha256:a11daf4a130ea704b7d41d36859a3bee2b9066dbfa92ec2c7b833b0a92b2c3a1

Observation 05c0b8cc-a219-46e5-bc28-c499e5da7566 · outbound

This paper cites Mollified moments of cubic.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Mollified moments of cubic

Reference 61

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.798214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.798214Z digest=sha256:b2a49351048c5aebdcefe869b2a4f8d5a2386b1678dcb44419a013af569c6679

Observation 97d26847-196b-49d9-a2fe-6f2088e42f7c · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 62

Resolution
verified exact
doi, observed 2026-07-30T12:21:00.734430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.801195Z digest=sha256:c9004f5277521cafcc1c2cba8171403296902c8d0256961b3b94f6336a2931a5

Observation a71413a0-8ad7-435c-b7a9-94a962ea0511 · outbound

This paper cites Compositio Mathematica , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Compositio Mathematica , volume =

Reference 63

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.804529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.804529Z digest=sha256:4fd7c3e9222bff0a0b626ef8c1cd0602bef5a43eb665990feb70bf330fb3f40d

Observation ff1e86b9-4a4a-47c0-95af-379b899100c7 · outbound

This paper cites Journal f.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Journal f

Reference 64

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.807565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.807565Z digest=sha256:4bb4ee931a6ccae3c997567f9c32d0fbfde24f746817cff4aae3597494cb8307

Observation 7d2409dd-2231-40a2-bf88-9dc50724e356 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 65

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.810502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.810502Z digest=sha256:385cdbd01e69defa035b0242bbbe535c0ce8b188a61b715b6f0a25d75a6bd041

Observation ac9ab75a-beb1-422a-801b-0aa8ca437877 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 66

Resolution
parse uncertain
no resolver link, observed 2026-07-30T12:17:58.813640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.813640Z digest=sha256:c8d5275ccbd88daff53974da0f91beba7b9877e6d4663d3bf941b600746d313f

Observation 71c3ec53-4111-42c5-a1af-e789dcca4097 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 67

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.816701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.816701Z digest=sha256:31749051a468015d300186741134f53b23ed3bf307230b2b9f2e63e10265ae70

Observation 24f22fcb-87ab-4131-9314-f9c206f575f2 · outbound

This paper cites Theta Functions: From the Classical to the Modern , editor =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Theta Functions: From the Classical to the Modern , editor =

Reference 68

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.821231Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.821231Z digest=sha256:1cc01e4c7ca0d2b0ff3e6e17fa03eb70038776e7e4f87f600f0c26d1b544df3e

Observation 3659a596-52d9-443b-957a-c73468a91ac1 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 69

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.824390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.824390Z digest=sha256:0e2bcaf98752e3d84a8b04ee380ad4eb312fb34ee89a73d6f0eef97aab21ab2a

Observation b782c85b-b55b-442b-9659-92f594fa3923 · outbound

This paper cites 1998 , doi =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters 1998 , doi =

Reference 70

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.829786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.829786Z digest=sha256:f6a6cf4d9fdddc9781cc2463697d6448a28c540d15e38aa60806c7dbf471b5e9

Observation e4786da2-6982-45e4-bccd-034420894cca · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 71

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.833434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.833434Z digest=sha256:4176dc31ba460c5c8fd21c9f35ae60d601bc9d9b1aecb1b93dd195dc221eee52

Observation 995d8177-36ad-4551-9cf1-793e583d5b6d · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 72

Resolution
verified exact
doi, observed 2026-07-30T12:21:00.484475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.837749Z digest=sha256:732437846e755c068d8c5fcd636448ebf75e568128fb8e7b3768844a8596afb8

Observation 07a7c5ce-c0b9-428e-9fac-4c9d6be4a718 · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 73

Resolution
verified exact
doi, observed 2026-07-30T12:21:00.169540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.841337Z digest=sha256:124b3e052bc493489abbf2afe9093a63913282e5085f569ebb5673e0e01f82cc

Observation 1e82a9f0-8cab-477a-aa8f-10db1f8729bc · outbound

This paper cites Publications Math.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Publications Math

Reference 74

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.845741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.845741Z digest=sha256:2bb47ac2573074c551153c8b15b513b826870c20237488c2b61b0aee61515a22

Observation 7e6eb6b0-2ccc-43fd-b0fb-c2be1447bba8 · outbound

This paper cites Publications Math.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Publications Math

Reference 75

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.850876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.850876Z digest=sha256:fcf43e2c64f53ff3a8f1e61540094d069a96e020806eadcf0be51233704152a9

Observation cc0de78e-1870-4ae3-a10d-981e6c0289f0 · outbound

This paper cites 2023 , eprint =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters 2023 , eprint =

Reference 76

Resolution
unresolved
no resolver link, observed 2026-07-30T12:17:58.860246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:58.860246Z digest=sha256:89faffa6fe2bbba571e9d7c2455e7a8794d055f056a7463076b53277ef0eb848

Observation 74f16fcf-fec2-4686-8f92-de211bdf2462 · outbound

This paper cites and Keating, Jonathan P.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters and Keating, Jonathan P

Reference 77

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source=arxiv_source observed=2026-07-30T12:17:58.874832Z digest=sha256:a67a1bf79423f2297430d32f3c3af54c7b955859ca34a85f7a5c695f551aafc9

Observation de57f9f0-6927-4480-b1d6-cf2b667a6232 · outbound

This paper cites Annales Scientifiques de l'.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Annales Scientifiques de l'

Reference 78

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no resolver link, observed 2026-07-30T12:17:58.880016Z

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source=arxiv_source observed=2026-07-30T12:17:58.880016Z digest=sha256:6effd0ecf941ee827c3e4f43ef1efb32bd0b7f82b8b89893787a353b056cadce

Observation f8638acf-8937-45cf-951e-0031f7240543 · outbound

This paper cites Manifolds and Lie Groups (Notre Dame, Ind., 1980) , series =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Manifolds and Lie Groups (Notre Dame, Ind., 1980) , series =

Reference 79

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source=arxiv_source observed=2026-07-30T12:17:58.911787Z digest=sha256:038dfc4f5a82afb0f6c209e2ee49a3d0f05f1acd5b0ea1cfcaa72d5c1ec7dc65

Observation 81206fe4-33a6-4157-9511-07111e6fca0a · outbound

This paper cites an unresolved cited work.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Unresolved cited work

Reference 80

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source=arxiv_source observed=2026-07-30T12:17:58.916956Z digest=sha256:1228ce8b3870b05ab70fb972c5961dda4f367640cf498b382b84b1f31fa5af09

Observation 1d848fa5-08ef-4a02-8afd-d6778f548d96 · outbound

This paper cites Brian and Farmer, David W.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Brian and Farmer, David W

Reference 81

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no resolver link, observed 2026-07-30T12:17:58.921916Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-07-30T12:17:58.921916Z digest=sha256:6498c8186c6fae4b004585709464ef1b89bc2c0e8782b29535388b638ca5f287

Observation 85d8d911-65d7-42ed-a033-fb5798619484 · outbound

This paper cites 2024 , eprint =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters 2024 , eprint =

Reference 82

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no resolver link, observed 2026-07-30T12:17:58.926333Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-07-30T12:17:58.926333Z digest=sha256:7dc70ab8cf0f6027449ff1b0d3a594cb979a590952109e8f6237d0dfabc3514c

Observation c4ebb1cd-cb17-47cb-818c-91c6590592b9 · outbound

This paper cites Annals of Mathematics , series =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Annals of Mathematics , series =

Reference 83

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source=arxiv_source observed=2026-07-30T12:17:58.930673Z digest=sha256:69d7f26e074de4a61c91cd103c7f0c2c441ec037ef3436f7f9b292cb2709af11

Observation 7be3b78a-baaa-4768-ac9a-53cf81b363e1 · outbound

This paper cites Journal of Number Theory , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Journal of Number Theory , volume =

Reference 84

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no resolver link, observed 2026-07-30T12:17:58.934911Z

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source=arxiv_source observed=2026-07-30T12:17:58.934911Z digest=sha256:ebb5bb0490359327c8d22e00353c5d729017ff5c9fce2571e2105419f5059002

Observation 3e8e8b5b-8d10-48fc-94ab-1706f82ba80a · outbound

This paper cites Quadratic.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Quadratic

Reference 85

Resolution
verified exact
doi, observed 2026-07-30T12:20:59.984189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.938639Z digest=sha256:b8d4b8abc1a0df114ae5fdeb0a7f68dfeeb2e6f3f22618028c239e187f209a49

Observation 1a75d0ee-b368-4339-81aa-8f415333b5cd · outbound

This paper cites Duke Mathematical Journal , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Duke Mathematical Journal , volume =

Reference 86

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Source-reported events for the cited work

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source=arxiv_source observed=2026-07-30T12:17:58.943173Z digest=sha256:ac4d65d0d83f5187a43c68ad23772ace823e873ce034aad087a433a4b30253ec

Observation 96e5798f-02fa-4daf-9fdf-7ad8cfd1251e · outbound

This paper cites Compositio Mathematica , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Compositio Mathematica , volume =

Reference 87

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no resolver link, observed 2026-07-30T12:17:58.947713Z

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source=arxiv_source observed=2026-07-30T12:17:58.947713Z digest=sha256:ffd3f2fe9adc7cc43370700f25d4f72e6de6c80af273dd3be28df8bde99d0ffd

Observation f928c365-ca81-4448-bc71-272f1615bd82 · outbound

This paper cites , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters , title =

Reference 88

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no resolver link, observed 2026-07-30T12:17:58.958543Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-07-30T12:17:58.958543Z digest=sha256:67dcc0c458c68e6990c3267aeb2fe7807cec86cd1f81d1c8577b2cfd858a8aef

Observation e51d80a1-315d-4f1f-bc63-2534c3afef5c · outbound

This paper cites 2023 , eprint =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters 2023 , eprint =

Reference 89

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no resolver link, observed 2026-07-30T12:17:58.962314Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-07-30T12:17:58.962314Z digest=sha256:debd20a0497a1d500e3776a86ec24fd703e6c3d2d56503d2c2f929021e8e27b3

Observation b707d054-ad8a-4feb-a503-4ebcc5466cbf · outbound

This paper cites Journal f.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Journal f

Reference 90

Resolution
verified exact
doi, observed 2026-07-30T12:20:59.853125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:58.966029Z digest=sha256:b794c7a26ebb98790e9e9afa10b9397494d5e875c3e84b9157824a1e18ce4173

Observation 813fe0c9-8c38-4363-9c84-b4a34c78bc35 · outbound

This paper cites , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters , title =

Reference 91

Resolution
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no resolver link, observed 2026-07-30T12:17:58.969658Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-07-30T12:17:58.969658Z digest=sha256:8d16bc34e63c582f1edaaa53f04276539b0c76012c9042470838c0fc39ebf845

Observation 421cf53b-8cd9-4fa7-af66-8f5f337309d1 · outbound

This paper cites and Sarnak, Peter , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters and Sarnak, Peter , title =

Reference 92

Resolution
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Source-reported events for the cited work

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source=arxiv_source observed=2026-07-30T12:17:58.973258Z digest=sha256:e8b7415e546898c0e2fd2c1bdae7b64e3ee898904fd929db956416fbffb1782f

Observation 46e7a106-f21f-4a86-937a-d65643b50e08 · outbound

This paper cites and Snaith, Nina C.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters and Snaith, Nina C

Reference 93

Resolution
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Source-reported events for the cited work

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source=arxiv_source observed=2026-07-30T12:17:59.012586Z digest=sha256:ee05812e6eb0079fd649dff580b3d545f0ca117db41e8985691a77bcb9c556e2

Observation b8d4af04-ac10-490c-bc36-96742f35b567 · outbound

This paper cites 2024 , eprint =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters 2024 , eprint =

Reference 94

Resolution
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no resolver link, observed 2026-07-30T12:17:59.054895Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-07-30T12:17:59.054895Z digest=sha256:01a20eec443efe452f4ac2c76fd4935ed3fb40d0b8b07a5c17aeaa6fa5df824b

Observation 9214c04b-f6ae-482a-a0d7-1fb6bebbbd88 · outbound

This paper cites Advances in Mathematics , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Advances in Mathematics , volume =

Reference 95

Resolution
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no resolver link, observed 2026-07-30T12:17:59.084801Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-07-30T12:17:59.084801Z digest=sha256:242474b69f594726ff74c61c26733e5fa4a3a8f133acd0d7c6ab1be86c36c84c

Observation 040e7fa3-fafe-429b-8b18-00cadfd16d70 · outbound

This paper cites and Wu, Kaiyu , title =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters and Wu, Kaiyu , title =

Reference 96

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source=arxiv_source observed=2026-07-30T12:17:59.134752Z digest=sha256:90238df097e88aca9b11995d1daa7ddf00e12d3901d64cfc67843d2081ba96d7

Observation 8c59af28-5af3-4608-9a3c-65e86fbfe46a · outbound

This paper cites Acta Arithmetica , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Acta Arithmetica , volume =

Reference 97

Resolution
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no resolver link, observed 2026-07-30T12:17:59.175320Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-07-30T12:17:59.175320Z digest=sha256:0d9cc7814c4d640b90fdae4c886eb114fef62ca212053112ab7ac79d39941b75

Observation f2a127b6-1d45-4a1e-ac7a-e903832795d6 · outbound

This paper cites Algebra & Number Theory , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Algebra & Number Theory , volume =

Reference 98

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no resolver link, observed 2026-07-30T12:17:59.206172Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-07-30T12:17:59.206172Z digest=sha256:4e5c3540da3b2c7a478d465769f75ca16534a20a89edee45d174860a27e65fac

Observation 26178892-d1b8-4ede-912e-6912efece933 · outbound

This paper cites Duke Mathematical Journal , volume =.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Duke Mathematical Journal , volume =

Reference 99

Resolution
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no resolver link, observed 2026-07-30T12:17:59.210383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:59.210383Z digest=sha256:06bd1652268a3c7a2a543ab3f87875bf7aeaf56351835a54d590bd894171d0c8

Observation aca4f8ad-c6d3-4c63-8185-a417789d740c · outbound

This paper cites Acta Math.

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters Acta Math

Reference 100

Resolution
verified exact
doi, observed 2026-07-30T12:20:59.627723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-30T12:17:59.214809Z digest=sha256:e31c42aeaaa4cfc5d33a27178e93f29f92a28aa7cd59fb10b108448e25612163

Pith citing papers

Observation d18fb8b9-9377-412a-9c4d-045dd747ef1c · inbound

Average analytic rank for the $L$-functions of the elliptic curves $y^2=x^3-dx$ cites this paper.

Average analytic rank for the $L$-functions of the elliptic curves $y^2=x^3-dx$ On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters

Reference 16

Resolution
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local_arxiv, observed 2026-08-07T10:44:11.077060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T10:44:08.708999Z digest=sha256:de5c009c68e3b66a3c0e8c169c5f7c6dcf73ac5d6a6fda5a862245da5a348978