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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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source=arxiv_source observed=2026-07-30T12:17:57.874844Z digest=sha256:e7826c04922f744a0b1280e90ce8a297d3a75642fabd0b1a12566dcb72efdc62

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=sha256:7ca1d9c66fb78cad3ebf33eccb0dfd996937e22e90b0bd9ec42fff6fe9d0923e

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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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:17:57.946197Z digest=sha256:b79417c44927effa7aef1a023a0fb5288b2d665daef7d32e4cc3d97e5289dad3

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=sha256:99cd1c318ac66a31b4fdfbc0cf8d1e037d18cc7b7af18ac9472082fa47002258

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=sha256:3d74229ef257e60bf368bec1b7d6fbb09994a62c807e8f64dcea072dc864028d

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:d605317fc5ccb98ce4687ccf2596a20128b7e98e5ef6dcaf322a41ef2fd70496

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=sha256:011d435a821eee68f5bee514d05322b806fce32392b838b6b046b00d3a5f35a4

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=sha256:8684d50c3129b336a619badac4217e8ad692bac61975d0cf1f0aaff8c12cc8e7

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=sha256:2db0e95e56f3da67cab67994422f4038a1b10b80756dd8995bbaace47aa925f8

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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no resolver link, observed 2026-07-30T12:17:57.995727Z

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source=arxiv_source observed=2026-07-30T12:17:57.995727Z digest=sha256:e69888508df41033d30b0be664cb37f7e8ac661109ead59e98612a37bd74dcd3

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=sha256:89908ce4e139d35c4160d99c7e0c9111bbf593c9a5a70f36f8298d79dd6442ba

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=sha256:94b50d96ecf596a22edbcf1b6d0c48d6fc6513ea2d9cc1c97e4753950eaa92a1

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=sha256:053f358e5038c9f55eaa514cf0ca9bfb94fecae15267e6d856191ec75b517a7f

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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source=arxiv_source observed=2026-07-30T12:17:58.134803Z digest=sha256:e84c06e40b0816e690b2a295e5e0f5aeebaf4e192968f4b1e38e65089675a729

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=sha256:3865ba75e7f9c24c1ab47aee3b54aaedc6efd7085db3cf13b8fb66bffe7c91f8

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:face9dde01f43841c5e8ea67751bae54f09b20e0c3794e4d0ea113ff788b099f

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=sha256:9747436b7f2f66c633de8f4ea950ecd7f033f378ef9396a021e7041430bd358b

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=sha256:9d04a18f50061affd84d6d0bfcf38ddf1335a33c7c0bcfa48564e48bd22a5f1a

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=sha256:51cd192a288c03ad77946246c824c601a83cf56ed9ae1d827fdcae299c04f7a8

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=sha256:7a3ba2ee6787e0a0f5e115411c1973d72fc32bc1d6aedc720cb8f75ecef0fa5e

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=sha256:817eb027c6b9ddb9b08a80fd9783bab7ab23e39090fa2b8afc597c4879ab60cf

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=sha256:1b4c008d0a7d5d8758da4cfe2d672c091935d1a25530a06c997a7ad9a67a2b5f

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=sha256:74d0d96c69b2208e1e832b6d7b82c07b7cae00a175723c0846266f9b238660e2

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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no resolver link, observed 2026-07-30T12:17:58.374852Z

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source=arxiv_source observed=2026-07-30T12:17:58.374852Z digest=sha256:60ef3a12fb0c7a50a17fb79de667d0434021ce46e5e91a12eaab8a94a84bc51f

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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verified exact
doi, observed 2026-07-30T12:21:05.006884Z

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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=sha256:9ab47ffe98740b5906b111c7439c7a2bfb3cdaf1ea8ff4d51e18e454ad4ab765

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
verified exact
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=sha256:0fc2c1a64639d59e8f8620e19493ce6e5c8dcf6fcddf76b7ab7b22c2378d07d1

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

source=arxiv_source observed=2026-07-30T12:17:58.565381Z digest=sha256:e3034db8dc337242a9a2fd1b0c87c6419a5bed8572a4da7244d062f9422fd697

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:cd3bc6e7d5b8b06ec24866a8712cd170be6ab249b3a13b3229ba9ce21223debe

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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source=arxiv_source observed=2026-07-30T12:17:58.573619Z digest=sha256:29c7370ec41910d0805d683bf2866e1a0a490b5cf14b004fe9800646d2b44de0

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

Resolution
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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=sha256:3d2d540e1f7c8f613e6608c9e4984e46ef233984aa95a547da3a92a6735afb19

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=sha256:5110d46a921f25b945ce51b342cdf45567d19f20be825668db2d7e7bb8926fb9

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

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

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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=2026-07-30T12:17:58.593016Z digest=sha256:6c2e0702077cbb9badd1ba8aa7fa909bc66f53bb8399b5fde509af1d07db0963

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=sha256:3e8d80aa382d6eace161f5338f5229474d6731797af54fa1174da444af76750f

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:a4923191cc5b004246572e0a6502ccf153502f90d97ce29d6a44ee5ad291540d

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:f3e28dab33435295549ed6a506cd2439a112435150b52b4be060b7128ceb9218

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:bc4fefa03b540f0895a718f4071c237e26b8bf4a51c8a39a9209c777615a6e25

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=sha256:81aa753a002660a00d8f8b07b054b25043d85ee551840fbaa6e660f8dd3f6ed7

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:d7e39d0bc1d9d85a666bff9553e80accb2ea7dd73c83154d23de4fe3f6d4a4f8

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=sha256:05a302313e3b89b82b11ee5faa5f8e7d7e4630aa40643ebd198e8d947be3bffd

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:ccd3786f5a1f990c53a283776b6e42480c489829b6e39b65228c8d10454b643f

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=sha256:4a26554eeb7b7a9e2a27f1f1ccffee20b00f77be9d90be2f7e806e3137bca621

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=sha256:32b55e81253cb25bf6952bc4f61046ad443182f94ebbd97a693a565327ca282b

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=sha256:62a2dee2757e9a79db448c34cf57541b310ef8a19a37ba985bf4f4e2d5f49dcf

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=sha256:7b21f63be5a22c9d0797c0da21337a712d624e75a04d5278cc2f04ce612b87ba

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:af947727dc51dddd1100d0aa5579031a129e809d07e8a4e6cfba29826584b53c

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:ab2b0039b517314bc1347897c3e284386e27d1256698f599374978dab030e639

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=sha256:3aa0b6df55ab057ca5fac48ada17f58bace317a947ab41259f912743c2f19bed

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=sha256:1df1d7576ad51d23f9e237c765fe09ff61d5988b935d13c8be3e0440100573c8

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=sha256:7dee74c5b8805977be11ff5ea0c5dc0dc1ed98ed98ab51f347fd8b29daffe8ee

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=sha256:97444d2b6fc63644bd9864e72d1e7afc568292bb692a5f1060c86d305a3727da

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:d664d6a2e2bb52a08a88af5cbbed6544c415ba4ef8e54bfe5038ad5ad1b94b65

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:b649b4e12ac008a76459cf3262849ca433516176ee5fc2b4349c9242698a4841

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:d71f7a10630107f6fc9ba2e65509d9fb66fa657b53aa7328bccd214f6ae13910

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=sha256:677f45e9b4a65c70e43bb8483d30adfed7e173fc333236a964fcba1ea04e3c38

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=sha256:7794537721397a3b72cd181badad5d07927132d9e4eb5f4f67768aa8375e441f

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=sha256:8ca4d1353bd4e7bef1f924585401ce943e729c63af6a36bb75b301b16af1354f

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:cb6a079fd616a3852019280c95bed8f0d994b9ca427a8b4802144492d6995c19

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=sha256:9e0aa705ee84fcfc59211e581c0814b421715e9a3397198542105600babd2975

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:f10f1f12ef5f2675c505b7e8385d5baa6f86029438a7a89b27457f590a7cd5a6

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:b0740d38dae65410a259a1896b640186d8ff02847be8cfc4625ed0c096efc396

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=sha256:1e397a69b248ff2e15a938e6847fe240091d6fe571bf00a31f0884b21ad4bc6c

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:ba73a377cb5f7b6110c6cd0941d8d6389a023188d7b8c2444eb943cd8adb2c96

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=sha256:70c91e22746530b56932810e79324ed1c73ed0729dd51be37644b88a47979932

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:bf8d8bdee77fc6ecd92e23891061cad37d583d2571215ab55945b2082a7675e4

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=sha256:089e9f28de6e399e7aec2683220749bb331885fbf24fab4e0cc6a0f4ca704d63

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=sha256:56d6a8cb3769e403b9e757a6547ad0f9aa2d2890efa92dfd4c178301094b8d6b

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:afafbb1111b4aebfaa92a536c6425b34cca9e2ee8a6e81ca1c4fef035e81f136

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=sha256:4145ee80773ca309fd8fc98bddb354a0142c8af94d0dff80d28ef215e43bc053

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=sha256:52201eae80aa535b7a924d41019ec456e6a16df819d5d7682c0c0d8428c1981f

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=sha256:0999bca9222525dbb4649b881c091b0cf1cad55e41383c02530fd83e948b06f3

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=sha256:0850af87ebd19ccfe7e9b7eaeeecb4cb5f9e01806ac803759469841fc58de315

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:fc5e33656bb991771a8aad59ff8249d91ec9b187b8b704e81a073350366fa5c6

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:fd4208eef153dd8e5c8dfc760480d387168a5d1a28a4a1a54b79f91c5d20f6d4

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=sha256:54735160e4a13639c2ef2c0e0ff4ae62fbb3feec57c847124e2897e0d13877df

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:ee5047b888fe25a233eadcfff8d11751850efcb986fcad1287bbfc81f97219e5

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
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source=arxiv_source observed=2026-07-30T12:17:58.860246Z digest=sha256:f8dca524ce398519755d23829393f8126a97c0ecb3f47a4aaa991d77c2e908b1

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:a1cc5e3cd93c4aba6b166f97b699442179e447de87ad4cb0e52563a5696154c2

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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source=arxiv_source observed=2026-07-30T12:17:58.880016Z digest=sha256:598c51b4df6e4d151b6339e81f4bb472f7064e687201f615d162122885ad633e

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:c4133100416f3e145492fddfaf489c5ddbac93b619fa76d88a66b47f76e8b55a

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=sha256:356543a00ab3a8809bb8c71d8fed1058e672be43ff203287fa05f939c3626a5e

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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source=arxiv_source observed=2026-07-30T12:17:58.921916Z digest=sha256:14dcafc7eaa149d7fa642c0c22a680becd280ef1bb8cef70249e7103b60aaf9f

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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source=arxiv_source observed=2026-07-30T12:17:58.926333Z digest=sha256:7cd2243981d7f9072e40963de5af1e90020549690c3b032e505aa47a7419e30a

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:fdcb1159f80c175429fc31d75c5f8716d3cd4307a1d9f433f3111f57a4c7f0ca

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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source=arxiv_source observed=2026-07-30T12:17:58.934911Z digest=sha256:7e7ab1a33376fde100e038bc67f2fe716a05e697b16f96f8fa7f968d1485b5c5

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

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

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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=2026-07-30T12:17:58.938639Z digest=sha256:84f4b77086987a82846786f19a5fb456d2431a74c6455a9094f833eb811390a9

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=arxiv_source observed=2026-07-30T12:17:58.943173Z digest=sha256:a9dbd25e942269aecce8a41030eed8b033196f11160b033096c89cf447931536

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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source=arxiv_source observed=2026-07-30T12:17:58.947713Z digest=sha256:c28eea36614b68f8e56fd93d5053d9d4b4a5586fed79afb5ce21f9c437613311

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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source=arxiv_source observed=2026-07-30T12:17:58.958543Z digest=sha256:c1e105c96e5f16be162718d25549c51498e4f35979af5b1b33b7987925459f45

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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source=arxiv_source observed=2026-07-30T12:17:58.962314Z digest=sha256:5c3834e6883dd94755f30cd5413b86c732171009194a10bc4e57ff19c3470626

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

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source=arxiv_source observed=2026-07-30T12:17:58.966029Z digest=sha256:2c0168f64188ffe9997df68864b8be35c6ac2ffb30f0a2b5766c5baa883fb7de

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

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source=arxiv_source observed=2026-07-30T12:17:58.969658Z digest=sha256:e2472fe50e67f6e5f9692b5ae6a436a5ce95a024b22633103274b6a35a0e770d

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

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source=arxiv_source observed=2026-07-30T12:17:58.973258Z digest=sha256:a1d7b9059e4c07a70b820ee1777ad53c641b83e8c7d7ad22c970e9ee3a8c199e

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

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source=arxiv_source observed=2026-07-30T12:17:59.012586Z digest=sha256:d04f18938713dcf44160e1682ce7460eb9d98cacc422b28799074591407bb225

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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source=arxiv_source observed=2026-07-30T12:17:59.054895Z digest=sha256:bcec67a6b1a74b581740fdb6eb33e8bb1d5fc44a4a56ae3f5f719161dedad50c

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

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source=arxiv_source observed=2026-07-30T12:17:59.084801Z digest=sha256:098b73bf1bb559c76da310c14f18d1dd1712d3eb3914941b8ddafac71d85c219

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:b9aef9e31e784730e77ca64f5e1da9ffca7f704016dcade183fd503d49937203

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

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source=arxiv_source observed=2026-07-30T12:17:59.175320Z digest=sha256:fbc068d8149d0b57689c58df7fe9d7259417697da8e14d11591b8d1cd964a41b

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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source=arxiv_source observed=2026-07-30T12:17:59.206172Z digest=sha256:ead0bff692aa0a34f56829ea6d8924d93c563cdaf345c5e148281a9a5cc9540c

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

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

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source=arxiv_source observed=2026-07-30T12:17:59.210383Z digest=sha256:26d2f1f9492fd3f6b5d793d09df70af90343b587079f2ce6cd1d88bbadcf720d

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

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

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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=2026-07-30T12:17:59.214809Z digest=sha256:e8f8d73eb865c544a362e3e9d5f8f631e8768eab7c4ecd1f836e55db8c762e2e

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

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

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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=sha256:5cdd9ddad1eb13c9415deb0e54b3f5cb970919d9fb83ae0abffb3280df911b2f