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Paper Citation Record · LEDGER

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

As of 23 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.263155Z digest=sha256:a38beb0e3b1952c716fc8bb94c2a1ceee31400336216aa00f045ef0d95199804

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.274401Z digest=sha256:9890b6efa49ed59f56a22ab4a588513f33c2d67a03a2ee2551133f8fe31a81ac

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.279292Z digest=sha256:a7a214764753861ba93850f7f8cf28c901ceb4726bd9cc7ea4e098f2d0bc806b

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.290075Z digest=sha256:2acc58e98c2f8a65f495094c3c09840693eb7ee755084960f5431484b7982f19

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.300904Z digest=sha256:c79bcc303a6bf18c7dd77a28c293661ea36a9395b05252f72ab269e35dc6586e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.305426Z digest=sha256:d9ef53b57f773ec992782beac16e0137e8c56a5a098412987200af849c8f7e11

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.310245Z digest=sha256:321f17db996fad66b8767c77c3b7faf57b0666230e1874e386d58f75d9656ba7

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.314784Z digest=sha256:5843db77588248d635d8471e14214f7891348972d4f7c5fb6547626f125e4473

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.319270Z digest=sha256:3db1ceb72cba0062f6c7f45dc8c5f308746cdf7ea611eb08c6700c8635092e61

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.324085Z digest=sha256:ba85340021e9a363c90e3b76003e0dfeb422d85b9c924e104bc1c0642d1f938f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.329065Z digest=sha256:0d95055cee748f2ba16f8bc3abf17f59af64d866f237f1a8aa4aca51eb0f571e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.334513Z digest=sha256:0d1b6cfced180e4061e0ad64ad73745204cbf8597be01c1b3e1ef6e0d5d1f371

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.339011Z digest=sha256:3f11f30a35001d6222d9618e1bf45661e9ad9e1bdf039a7d0935d43a201d37fe

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.344105Z digest=sha256:35c09060378056b00afebbcaae553cbe9ca9a670c2c7201beaaa5d32d6ccd92f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.349125Z digest=sha256:522ffd41c74acc45977783a4e614b6684517ba0a6b1cacfb101529ca0e780bfe

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.353691Z digest=sha256:f759b2b2af96f8b45d435dd29a969122fc592ec3118106c95ec4e875f922b705

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.358648Z digest=sha256:b033c66575790a07bcaa18beb224a6dffdc588795d6962803420a35211c4ce89

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.363908Z digest=sha256:a5a41b51b590b2d40b5b8789b2eb7531058b8fbad783efafb3bc942e348c5723

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.369052Z digest=sha256:7ceb58f2e5f44175648e24ce508825fb4ccfba24882598799a0906b09c343b56

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.374534Z digest=sha256:381970a94718e5724923c7622071a9ff17f62813f5911d004a7648553d665aac

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.380001Z digest=sha256:8a358a2419538465ef7bd38cd55668d3a5809cac131997451c58451c232f5df8

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.385008Z digest=sha256:3abc42a081118586a09b4d2b73c6426bdcaed0ecd8ef7b9e8cb78df713fe379e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-14T05:50:08.389785Z digest=sha256:82f96078a30e1777a018f74e8e34bf45ad140f1c75ab7ef0157ac19ae6912388

Pith citing papers

No inbound Pith citation observations are available.