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Paper Citation Record · LEDGER

Moments of Dirichlet $L$-functions with prime conductors over function fields

As of 20 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1909.00854.

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

pith.paper-citation-record.v1
1909.00854 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:50:08.389785Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

  • verified exact3
  • verified fuzzy13
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 86956051-31d6-42b5-af21-cbfc05aea4ae · outbound

This paper cites Small zeros of Dirichlet $L$-functions of quadratic characters of prime modulus.

Moments of Dirichlet $L$-functions with prime conductors over function fields Small zeros of Dirichlet $L$-functions of quadratic characters of prime modulus

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:50:08.494923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.263155Z digest=sha256:12dd9301cc72152384921626e47ba9d28bc3f821be56659c709574f95b65f49d

Observation 77fc6845-7364-4441-957d-25c716f8c1de · outbound

This paper cites Andrade and J.

Moments of Dirichlet $L$-functions with prime conductors over function fields Andrade and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.809792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.274401Z digest=sha256:08363c46c3725f769ecacca3d9912f274add5b58c90a01a7d14d85d27513712a

Observation 55f6ee16-c22a-4d24-be0a-cd4e67972e8a · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.794573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.279292Z digest=sha256:76775231e509c2cb64b475087513fc9ec442a517a2173bd237e3aa8cba929978

Observation 65916974-b567-4cca-bbc8-90eced5928d7 · outbound

This paper cites Baig and C.

Moments of Dirichlet $L$-functions with prime conductors over function fields Baig and C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.778154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.290075Z digest=sha256:39aca7f4cef7fae26453d0afb09ba20ce5e7ec99f42fcdabda543b7723904d83

Observation ffb4efce-f34e-44e9-a136-af79e04ab63e · outbound

This paper cites Dirichlet $L$-functions of quadratic characters of prime conductor at the central point.

Moments of Dirichlet $L$-functions with prime conductors over function fields Dirichlet $L$-functions of quadratic characters of prime conductor at the central point

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T05:50:08.295355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:50:08.295355Z digest=sha256:2c0d85c1513076ab7f52911d66a3ae45696923ea6f745816eef434d186e16afd

Observation 88d3746e-3d98-4c96-a394-2af226e50932 · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.762825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.300904Z digest=sha256:0f1b86dff300c2ea7f38dacd2b15d40c0eee5af2e1e5d7df4b7e9ff5607edf83

Observation 3834944a-0261-47aa-b344-1f2476c8b2ae · outbound

This paper cites Florea, The fourth moment of quadratic D irichlet L -functions over function fields , Geom.

Moments of Dirichlet $L$-functions with prime conductors over function fields Florea, The fourth moment of quadratic D irichlet L -functions over function fields , Geom

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.747366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.305426Z digest=sha256:bf1d1a7c2cdbdf81c2eca2fd882b767fe260504187045ebc7ccb67ab21a805fc

Observation ed7a09af-0917-4730-abba-ff1bac88f9d0 · outbound

This paper cites Iwaniec, On the order of vanishing of modular L -functions at the critical point , S\' e m.

Moments of Dirichlet $L$-functions with prime conductors over function fields Iwaniec, On the order of vanishing of modular L -functions at the critical point , S\' e m

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.732532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.310245Z digest=sha256:ef7bf51dbe2ac3efccdc9adf6fb21ccdebd38133752de25269aa1f012922e62f

Observation dbf75935-4a94-48ce-bbea-e5f3a26f197c · outbound

This paper cites Jutila, On the mean value of L( 1 2 ,\, ) for real characters , Analysis 1 (1981), no.

Moments of Dirichlet $L$-functions with prime conductors over function fields Jutila, On the mean value of L( 1 2 ,\, ) for real characters , Analysis 1 (1981), no

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.715519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.314784Z digest=sha256:ea1491f629bf20f2df392bfc8903f2d6135ca6eea7e4b58d5fdd17dfc8d0a3e5

Observation 04811a3e-5953-48a8-b6c1-b3fe5d697b7e · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.698867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.319270Z digest=sha256:0a367c45e37a12edc7e9cea18f2a6318384ba9b15edf32b633df68fc9e8b2566

Observation 88c8529d-b926-491b-9204-d94806577247 · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.683406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.324085Z digest=sha256:fe90e0d8fc673d66bcd22ed601ebcec6d1694e1d0e8805dc04d5f9b79ecf5d2d

Observation 0887d9b8-a538-4a2e-8f3a-25c9d9ec3221 · outbound

This paper cites Petrow, Moments of L'( 12) in the family of quadratic twists , Int.

Moments of Dirichlet $L$-functions with prime conductors over function fields Petrow, Moments of L'( 12) in the family of quadratic twists , Int

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.668904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.329065Z digest=sha256:765bbfe0002cb7b876c11b4f412c7efdffb584de5720f9749aacec3ef0596b9c

Observation 2ac4219e-7a10-4c30-9a5c-5847fc72f77d · outbound

This paper cites Rudnick, Traces of high powers of the F robenius class in the hyperelliptic ensemble , Acta Arith.

Moments of Dirichlet $L$-functions with prime conductors over function fields Rudnick, Traces of high powers of the F robenius class in the hyperelliptic ensemble , Acta Arith

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.653748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.334513Z digest=sha256:0a16229371c862ebdd9783bade0fcf600bd002cf3259213c7f2788762a604be9

Observation e5bb1f8c-2c74-4db5-bdee-26cde14b5b45 · outbound

This paper cites Soundararajan, Nonvanishing of quadratic D irichlet L -functions at s= 12 , Ann.

Moments of Dirichlet $L$-functions with prime conductors over function fields Soundararajan, Nonvanishing of quadratic D irichlet L -functions at s= 12 , Ann

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.638112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.339011Z digest=sha256:fb6af3a9c52a8db360e0adb5103b0ac6c25e4e488d5bc8602c55f7c4022e3990

Observation e9dd1e72-deba-4408-97d3-887ce4fd8c32 · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.622754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.344105Z digest=sha256:352a36ba92f98628c543fc929797bd1d66991028e8b29382abc5f821ae1f2e33

Observation b7d44571-d028-4a81-bb1e-73f3f69a7de6 · outbound

This paper cites Soundararajan and M.

Moments of Dirichlet $L$-functions with prime conductors over function fields Soundararajan and M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.608837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.349125Z digest=sha256:209afabafe359473b843ffb6ae618e6ba8cb37a8d796e4c1843cb1dbf510babf

Observation 1fc2b310-e375-49d8-b418-66174759461b · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.593637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.353691Z digest=sha256:5561f33632d04ace900c4311b67910e4d06d01b9caf9f1ba899757d1941f524f

Observation 3115ba94-b762-4fe3-b011-792a44a2eb79 · outbound

This paper cites The Integral Moments and Ratios of Quadratic Dirichlet $L$-Functions over Monic Irreducible Polynomials in $\mathbb{F}_{q}[T]$.

Moments of Dirichlet $L$-functions with prime conductors over function fields The Integral Moments and Ratios of Quadratic Dirichlet $L$-Functions over Monic Irreducible Polynomials in $\mathbb{F}_{q}[T]$

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:50:08.473440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.358648Z digest=sha256:cb5f31b34be7435032fb422ba2712ae427cde1527b962ea5143ea731b1f3f9b3

Observation e780009c-2190-4d2f-8873-a7efdc0846af · outbound

This paper cites an unresolved cited work.

Moments of Dirichlet $L$-functions with prime conductors over function fields Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:50:08.577450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.363908Z digest=sha256:d13d5b0a6074cf632ed7ad6861d50483fe6fc021291b95e6b5da3505205b65c4

Observation a3cfa03b-b8a2-4ecc-90b8-ebbe9b490841 · outbound

This paper cites Moments of quadratic twists of elliptic curve L-functions over function fields.

Moments of Dirichlet $L$-functions with prime conductors over function fields Moments of quadratic twists of elliptic curve L-functions over function fields

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:50:08.449022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.369052Z digest=sha256:427faf424513a365ac0276daa389994a26e953123ecb6548f342753eaa12997a

Observation e36b0d6b-35ed-4325-96ad-f20f5726b670 · outbound

This paper cites Florea, The fourth moment of L(1/2, ) in the hyperelliptic ensemble , Geom.

Moments of Dirichlet $L$-functions with prime conductors over function fields Florea, The fourth moment of L(1/2, ) in the hyperelliptic ensemble , Geom

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.562177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.374534Z digest=sha256:b5089ba0312f91db61fdd3405f68820d69c02086eeea451bca607521696fa552

Observation ce51f239-4945-4ab6-9d44-07bd26b033d7 · outbound

This paper cites Rudnick, Traces of high powers of the Frobenius class in the hyperelliptic ensemble , Acta Arith.

Moments of Dirichlet $L$-functions with prime conductors over function fields Rudnick, Traces of high powers of the Frobenius class in the hyperelliptic ensemble , Acta Arith

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.543981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.380001Z digest=sha256:f246155e146bc5f7d18a364d6ae3ccbd854a1e34bd620833f3a42ad9b6c6ac87

Observation 158b9806-8679-4ed2-aad2-3353765c5007 · outbound

This paper cites Soundararajan, Nonvanishing of quadratic Dirichlet L -functions at s= 1 2 , Annals of Math.

Moments of Dirichlet $L$-functions with prime conductors over function fields Soundararajan, Nonvanishing of quadratic Dirichlet L -functions at s= 1 2 , Annals of Math

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.527787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.385008Z digest=sha256:96388e458fdb503b2def69800affacc70bc28e51904fe79429bdd874f6ce4682

Observation 91e2cc5a-3ab1-45ec-91a3-04f053e7fd35 · outbound

This paper cites Soundararajan, M.

Moments of Dirichlet $L$-functions with prime conductors over function fields Soundararajan, M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:50:08.511734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.389785Z digest=sha256:c3187341244c22a7385a99b77de133c5d0d92a20c7bbe90e5b1f097a4f9fe750

Pith citing papers

No inbound Pith citation observations are available.