Pith. sign in

Paper Citation Record · LEDGER

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound

As of 18 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 2 inbound Pith citation observations for arXiv:1908.10346.

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

pith.paper-citation-record.v1
1908.10346 v3

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T16:06:26.905668Z

measured 60 of 60 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:35:33.610448Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T04:51:08.484201Z

Reference resolution

58 of 58 outbound references displayed

  • verified exact5
  • verified fuzzy24
  • unresolved29
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0ecbfbf1-27fb-48c1-a0b9-7d099b1cfb3d · outbound

This paper cites Andersen and E.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Andersen and E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.473783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:0f6dc8cf66fdf77249c4d9da0efdae581c23b3b291507d35d410a0b1f38ec185

Observation 59512fc0-6b03-4a6c-8c1a-1d50ecb9ed41 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.499457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:2399680f439082a33517da844d59e2f07bca8e4258e69c7176a0c4b5d6305335

Observation bd1b504e-7fc3-4be2-84fc-2ec1d33800f2 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.503074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:26c1dfb9962f1ef7c5b0a1d96e23feaf4475cb6204f3f6c8177928038600cab8

Observation 5a661cd0-09f9-4c04-95e7-c4a4cd158f75 · outbound

This paper cites Motohashi's fourth moment identity for non-archimedean test functions and applications.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Motohashi's fourth moment identity for non-archimedean test functions and applications

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-24T16:09:39.842238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:148b7ca4b33ce7f59fa36848d5137393d36f07c3cdd88b9fe74403b49c0ccad2

Observation 853853b8-9dff-40c2-8e96-1311f40e2421 · outbound

This paper cites Blomer and R.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Blomer and R

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.455171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:24045283b5f4c3375ec62055949b9a3a6e6833c363b78cec3814ac84d9055529

Observation 0ea9261c-06ac-454e-9faa-beb072667d68 · outbound

This paper cites Blomer and Dj.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Blomer and Dj

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.491798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:c6636c798d9ed0fde5e21fb32e826f76f519da830d421738a9dcc8ae6f745e2c

Observation d5bd5edf-0ed3-4225-aeca-309682e8ae6c · outbound

This paper cites Twist-minimal trace formulas and the Selberg eigenvalue conjecture.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Twist-minimal trace formulas and the Selberg eigenvalue conjecture

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-24T16:09:39.846459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:e4888273b62b6a20fafac055b6ed1dfcddd1977c8501cea1c017a6ace2c75dbb

Observation dc1ab29b-0bfd-47db-878d-cba2ad10fe49 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.462761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:ed1bd86b5f7861dcce0bafd1dba1e0b1cfb47e7687b060072f1980e9356fe78a

Observation 46eb9040-67f2-42e3-a1be-166c452f5072 · outbound

This paper cites Casselman.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Casselman

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.487956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:9f4594ee5e98066069e4e8d8a921697962bf67838d49392abc7b82f1ff418a0e

Observation 51a620f0-64cf-4e44-a8b4-7da0db5c786e · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.451545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:4b1168966efccb90bad6fc940470796eefa3609c5467834f3df292ddf05df3cb

Observation 2bf19dbe-cb66-4598-b2b1-d038f4e86363 · outbound

This paper cites Corbett and A.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Corbett and A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.458902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:e510285c1525b8b83cb5a3c508d6782438061997df03fe955f90855ddcb5d723

Observation 9766b68c-4214-4760-9dfc-e393ea81c65f · outbound

This paper cites Davenport.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Davenport

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.477487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:d8727b0a580b1606b72bfad1f7fef8b131db49a25bdfb8f675033d2666ca1e6a

Observation ad67dbdf-06f6-417f-8a7c-7066125c8c4c · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.447908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:ceb5772d4252ab776dc9146187ba030a0ae871f178f5d5eb4cb9f90afb8ceb8f

Observation 47432782-a8f4-4262-a161-de1dedde3150 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.480961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:054cd1716ba25239872c5d6662c81f60d0a4a47ced9d3dcf32e5bf6cb5ce1bfc

Observation d0d3d1d1-950c-49a5-9071-a19bdb587ac4 · outbound

This paper cites Deshouillers and H.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Deshouillers and H

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.470066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:a0ff5e410fae017479a889e4498cb148c00aad2cbe1903a57101a42bc638f5aa

Observation 29cf9b35-2262-4aca-b829-82019f5677ca · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.466536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:f6e86ffbca9f1d076f89ee148ccb8f0bfb4ff86902ce9ee6d080711b99a894cf

Observation cc387d36-cbb3-437b-a59c-2ec19ac08a5c · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.495704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:8e8b723c6592a47304b1511e965240f08347ab34709a77b9f921a068fc0d8d25

Observation 5a3d9208-6102-4b10-a055-7634f9bbb975 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.484157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:c9cdea1b3efd147724a285ae0b4fa31e3b80c8102774dabe2af237bdebf6dc81

Observation 95e1f350-6a05-4e77-9db4-71e89a99e464 · outbound

This paper cites Guo, On the positivity of the central critical values of automorphic L -functions for GL (2).

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Guo, On the positivity of the central critical values of automorphic L -functions for GL (2)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.623095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:6992d7a16a3362b37bca3a6f92398d71e11bc542265d2843690ae4c895e52540

Observation e64c84ef-3c48-4a0d-9ce6-6e645f9bbed4 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.626569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:9ac3266c963eff9886d8d35f46b2f34efbd54abf54630d018767e28bf3fd6076

Observation 286d8615-414b-4fb7-ae8a-783b3850b939 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.633675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:d46564c3e0a4a37c62e856bfb0d75029fe62a83944b519dfa4a8cfbca1bce67e

Observation e9923611-563c-4ff7-839d-55faba97ecc7 · outbound

This paper cites Hoffstein and P.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Hoffstein and P

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.612466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:90bf2acbbe00d61a96c48eb253d4ef4dc26173bba0aa49c9b020a12b4c616870

Observation d1ec6ccd-f827-4125-a9d4-34550ac5c960 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.608790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:fc310fa20a64b15aa59aa80da4289cad6fec9c59974686bceeea04d3d57b1ae8

Observation aca4fef6-fcd7-4e61-bc31-a46dc3591fb7 · outbound

This paper cites Iwaniec and E.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Iwaniec and E

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.616217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:8dc3ceafc01a51fbc341d3feb1b8a52287fd0b75943506b055c93bc60389aba8

Observation b7e9723c-bb7c-4f13-ae04-b76036a210b8 · outbound

This paper cites Iwaniec, W.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Iwaniec, W

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.601814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:f4b29e59e609405700bdbd456d51fc414c22773f07db4843e2ddcdde40bf4428

Observation cef451c0-2c08-423c-b3b5-c7a9ef188a31 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.598209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:5e3c8002293ba6fe85aa3e2bb5d540b3f7d38a077dfe9cdcb35c95a26587c66a

Observation ef61706c-732e-4ce1-803f-77ca353cd0e3 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.605276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:266acb16ac3cfee8115fc4bb3f330a8fc05f2a459454e78555a4a0228492fedb

Observation 7d051478-4e3a-48d7-9d68-b852d157d8b0 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.594564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:f3784f03ef87198475799acd35ae66df2eb7fa15aecd7fb2c6cba8ba01a1e523

Observation 06ef4131-f08b-4e88-a633-74a81261d9d9 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.590988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:230f0671c97d5170fc8fd37ff1f50264ae1626f15625fdd1a0da46189d3df1c5

Observation 56599dfb-75a3-4ada-be67-d53244361c82 · outbound

This paper cites Jutila and Y.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Jutila and Y

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.584263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:d1ec43d23ce9f096e5476a656e51ac26fc9ee9560907474a5c42e7251af180ad

Observation 1b571703-edc7-4471-8038-7c0c5672c0c2 · outbound

This paper cites Jutila and Y.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Jutila and Y

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.580575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:0b1b67bbcde6f3c2cd1ac39a593daaaed8dd43a54058c9ad50175bb601b29d06

Observation 1e3c5de5-4639-4093-876e-f53288f6993e · outbound

This paper cites Khan, Dj.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Khan, Dj

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.587786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:123167034c246439467530d7d65fe431a95928400578270ef2e81d810e3e8959

Observation e088e8bd-eff6-4149-b62f-e67fbed65f98 · outbound

This paper cites The Fifth Moment of modular L-functions.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound The Fifth Moment of modular L-functions

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-05-24T16:09:39.861690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:f8a5d7a8f538d2c75c2b71d991af236237c0aa3064b03fb1c330f7f6c6b4335e

Observation 81605d4c-df23-4dca-a668-39eff9131e13 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.619580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:7c797afe5a1783a8b1150b3ff578bff75363a53e687a7c1bb3aeeb7f65a0b1d2

Observation df4cf51f-f314-40b0-a5c5-27c12a6b7e11 · outbound

This paper cites Kowalski, Ph.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Kowalski, Ph

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.576962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:ff358acbc956770c0492a2ba182c2e067da77021a5533c5b0aa51a990df2c5ae

Observation 409efe84-7510-456a-b675-459b00cfbb4c · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.569932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:4110e5b34d72c7277b4643ed4c5b0fdc9c77347f6dc22f6a8900f37f54bb0655

Observation 7aeeaf5e-cd9d-455d-aa11-350781a9d4e7 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.566595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:8ca01520a87ce83b0d505e50c5f40f56593495629865aa1bffd660d0af169399

Observation 4cba8d83-7f43-4616-81c3-a7d297035602 · outbound

This paper cites Michel and A.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Michel and A

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.562898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:1fe3a3e31fb7a73878068590486687fda5d7364988b3869503036ed2271186bd

Observation a9059bc3-f70a-47bc-9b83-2428f225aef2 · outbound

This paper cites Mili\' c evi\' c.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Mili\' c evi\' c

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.573472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:f77e0190be005da14410ba7acb116c94f7be01a92b9f3e4c7ca4430430a9e784

Observation 96ce1315-a043-4249-b072-77dcbfaea339 · outbound

This paper cites Twelfth moment of Dirichlet L-functions to prime power moduli.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Twelfth moment of Dirichlet L-functions to prime power moduli

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-24T16:09:39.851012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:8c20cf6b61c4ac0207160c3d0655e00d9bfe660152a74b6a866fa1e9fb27cf6a

Observation 347a7976-1abf-42f5-ab15-045255cf947b · outbound

This paper cites Motohashi.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Motohashi

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.630292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:932e7baeb0ba0613cd9b09e27d903a49639aa2956f1f83fa6f7df11fb78f6c88

Observation e4b5916e-b8e6-444e-9c73-eba576cf54d9 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.637047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:e8d7f23f018eb8fa52e2210e74a09d7397917338b1d77364ea7a7d31b2cafe5c

Observation db2de117-c27c-491f-9435-a1ca61d56248 · outbound

This paper cites Neukirch.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Neukirch

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.559194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:5d767321b37364ef59a87707bbd474ccb47548d7075badb3121e76fcb886d6ee

Observation 0b96252c-5d88-47f4-9baa-0484394b6ff3 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.539906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:0b8705d41a598a1d386b93d89448405a00874856e8769cd5f75e68c2b7f2f1d0

Observation 52272857-8389-43c6-8c49-2d76d07427f7 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.543625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:5e4dfed1675d2590e634163ba2d9124fb5273d25743d09ad10940edd2492fa1e

Observation 5ac6d2ff-23ba-45ab-8e05-3af19626bd77 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.640664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:fb64705a78974bc458631601d20b9b6c113b152387d22d2621c6fcada1c9c6ae

Observation f80c817a-023c-44dd-975a-f1f81abb4d92 · outbound

This paper cites The Weyl bound for Dirichlet $L$-functions of cube-free conductor.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound The Weyl bound for Dirichlet $L$-functions of cube-free conductor

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-24T16:09:39.856022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:a5bcff532be7c2de6f2719cb5037ac7b5dfe0b1f857f9710f4e4b440c0760fd4

Observation 7027a9d4-f4b1-418a-8bc1-eecb206ebddd · outbound

This paper cites Petrow and M.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Petrow and M

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.555544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:0c157a99655f080caa688ead16457a996127faaa7562017c5c2ca9774cfc0772

Observation a0059bb7-a940-49bf-a658-d1e8a33af1d1 · outbound

This paper cites Sarnak, S.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Sarnak, S

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.535789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:544b1a5f70b60f597cde8bd8a009ff0ad4ac43ed7be91468e37ba60b85ffb23a

Observation 5e832e3e-1f6c-4029-ae55-de39a1a516a9 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.528843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:584b5d534eb5933ae3f007a6a6a6c897d4b40d6eca0e53498a0dbf048ebdb407

Observation d1c06684-e533-4e4d-af21-2d9702f18075 · outbound

This paper cites Schulze-Pillot and A.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Schulze-Pillot and A

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.518069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:3bb2fbce70c52bb6db62ddba8c51f7afae811801c348013d621ed09b3c602438

Observation ec3162ed-a2e9-4e96-aea7-2ef587a0affc · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.521629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:0714442f9eb39998185a0a913e0c3792eb9e77907dc48bf969578890c4312fac

Observation f28be124-3006-44ca-8b9d-df081e7203a4 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.510369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:fb1890d64eea5f6dd0504e47693aa14c22ed09ae298b3808b8e9ded276ec0d2b

Observation d3278b25-11c3-4f91-923a-221fe596176c · outbound

This paper cites Soundararajan.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Soundararajan

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.506600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:6255711b9d7f709bc4fed1c6d195c51f98ca0ed0574406a3607da3b235ea7017

Observation bc624288-4536-422f-9bf8-bfa35a84f576 · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.514343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:6a7484ce3097a936da5e7ac40551711cc3fa802d24747278cebe49b7a6658014

Observation 2ee84d90-a365-4ea3-8f0f-87aede8073bc · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.525187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:69a3f4b4a4c89c094dcff53598fbb0d982cb6ede17f8a6b73d25e3dcaa19eb95

Observation 7468b790-08f8-481d-997b-1c23ce9537dd · outbound

This paper cites an unresolved cited work.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-05-24T16:09:41.532401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:da038490253ca86af63f30aae8932d17507ecef1cf33c0e15050e237cd98b37d

Observation 6b5db03a-ad21-4ff8-a26f-454ec5aed1f7 · outbound

This paper cites Zacharias.

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Zacharias

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:09:41.548307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-24T16:06:26.905668Z digest=sha256:88e788aebf2f3391bc705a1409f6445900ea0d03ade743bbfc8493323ad3a3ea

Pith citing papers

Observation 50f63070-5dc4-4e80-b373-dd6b49ab8c73 · inbound

Uniform subconvexity bounds for $GL(2)\times GL(2)$ $L$-functions in the spectral aspect cites this paper.

Uniform subconvexity bounds for $GL(2)\times GL(2)$ $L$-functions in the spectral aspect The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound

Reference 45

Resolution
verified exact
local_arxiv, observed 2026-08-05T04:51:08.491112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T04:51:08.409632Z digest=sha256:9fc003ed995b1b73cda7186b5c35fe280dfc2713d6780efb778f3313481c3b6a

Observation 4475d8a3-4c45-49fd-ae1a-6f26467de923 · inbound

Squarefree numbers in short intervals: explicit and formalized cites this paper.

Squarefree numbers in short intervals: explicit and formalized The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound

Reference 111

Resolution
unresolved
no resolver link, observed 2026-08-10T22:35:33.610448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.610448Z digest=sha256:d75a892cf01be00e31fd9bc41aec310a3573c8956c9760feff3dbbb338abe960