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Paper Citation Record · LEDGER

The second moment of cubic Dirichlet L-functions over function fields

As of 20 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 2 inbound Pith citation observations for arXiv:2505.12015.

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

pith.paper-citation-record.v1
2505.12015 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:06:50.684509Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:44:49.558049Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T20:06:31.940663Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 40524c53-0e17-45f4-a3a9-632c362829c7 · outbound

This paper cites an unresolved cited work.

The second moment of cubic Dirichlet L-functions over function fields Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:06:50.955279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.625222Z digest=sha256:40186b92ead774d8a2fff252e0716305d0666df88e193f3e524b4ae40970990a

Observation 18b47613-06cf-4d93-b4fc-bcee76a5fbc1 · outbound

This paper cites an unresolved cited work.

The second moment of cubic Dirichlet L-functions over function fields Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:06:50.941461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.629805Z digest=sha256:860e1be7bcd655c13bd464cce743c59241ff0d9b41fcf387c7c459310309405a

Observation 752b78d3-2134-4761-98bc-4139f954962e · outbound

This paper cites Non-vanishing for cubic H ecke l -functions.

The second moment of cubic Dirichlet L-functions over function fields Non-vanishing for cubic H ecke l -functions

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T21:06:50.633682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:06:50.633682Z digest=sha256:f99c75b0c3578cc5f644f22c8c91e47eb95e624e2b88bde2aac0a46e9b025170

Observation ae2b0150-422b-4556-9216-fb20dd925bbe · outbound

This paper cites The mean values of cubic L -functions over function fields.

The second moment of cubic Dirichlet L-functions over function fields The mean values of cubic L -functions over function fields

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.930187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.637609Z digest=sha256:d2c9c2c49984b1de00255de6cd419b3e042bde81b501ab18ec66eac571c9ae0e

Observation 9c4af715-2159-42eb-8df1-8e29de098c02 · outbound

This paper cites Double Dirichlet series and the n -th order twists of hecke L -series.

The second moment of cubic Dirichlet L-functions over function fields Double Dirichlet series and the n -th order twists of hecke L -series

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.918932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.641802Z digest=sha256:62af29a3a2be698b936425ef2bf54fab89a4b758ef9eaa1c4b8fa5223bb236ab

Observation 189f08af-c70e-46b6-aaab-54b40a324dd0 · outbound

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

The second moment of cubic Dirichlet L-functions over function fields The fourth moment of quadratic D irichlet L -functions over function fields

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.907745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.645715Z digest=sha256:d67a8e67809a0e5bcd87f70eb8a9e4320ccb34247c5b04aa98d3087df3d21b2d

Observation 0e753ea6-62e2-463b-9d7b-5227f0f1a731 · outbound

This paper cites The second and third moment of L(1/2, ) in the hyperelliptic ensemble.

The second moment of cubic Dirichlet L-functions over function fields The second and third moment of L(1/2, ) in the hyperelliptic ensemble

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.896598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.649674Z digest=sha256:42180b547d8d99120416e5d1f7af2ec1f0b84fb7d05b304ef386d861bfb7e494

Observation f0c3f0a4-db94-44bb-9e0c-c36c966d6bb4 · outbound

This paper cites Theta functions on the n -fold metaplectic cover of SL (2) ---the function field case.

The second moment of cubic Dirichlet L-functions over function fields Theta functions on the n -fold metaplectic cover of SL (2) ---the function field case

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.884499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.653152Z digest=sha256:8b01f0b62c349c5c111bb5c28044149beac136f617b372f61f6ce645a5143cc6

Observation ffe17bb5-ad7b-4632-a2be-4281b97c10e6 · outbound

This paper cites Average values of L -series in function fields.

The second moment of cubic Dirichlet L-functions over function fields Average values of L -series in function fields

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.872163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.656555Z digest=sha256:5d30bd60d1373ce4bdc6a896bec36b637b1e962dbb1fc664f8ced3bcae996e03

Observation e85b7b8b-227e-41e7-8b86-0721a01aef43 · outbound

This paper cites an unresolved cited work.

The second moment of cubic Dirichlet L-functions over function fields Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:06:50.860929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.659893Z digest=sha256:e18b8f6fb30ec1a322af003abb7d6ce37087809aee53fe80534c9efd74c11f6b

Observation 5531e9a9-f878-4694-a209-68c5f31508b0 · outbound

This paper cites an unresolved cited work.

The second moment of cubic Dirichlet L-functions over function fields Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:06:50.849370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.663391Z digest=sha256:1004712df482243386585b134651cc2c07867a2e705a0747f33aab5de73b0680

Observation 5cd8fdd2-b1a5-4b1a-b49e-3b5e68e16d2d · outbound

This paper cites On automorphic functions and the reciprocity law in a number field.

The second moment of cubic Dirichlet L-functions over function fields On automorphic functions and the reciprocity law in a number field

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.837531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.666765Z digest=sha256:0fdf17f0281ec00b1e41c43817353d4e591e48c1b835a1370fb5e453a68b7577

Observation b697b12b-b941-489a-b17e-a320883aba78 · outbound

This paper cites Weil conjectures, perverse sheaves and l 'adic F ourier transform , volume 42 of Ergebnisse der Mathematik und ihrer Grenzgebiete.

The second moment of cubic Dirichlet L-functions over function fields Weil conjectures, perverse sheaves and l 'adic F ourier transform , volume 42 of Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.823577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.670220Z digest=sha256:45b73576e79599711608672912a1c4880c436089ea437425f678c05c24639134

Observation 114ccc6e-09fc-410f-8958-967e9f9cfdc2 · outbound

This paper cites On Hecke \(L\) -series associated with cubic characters.

The second moment of cubic Dirichlet L-functions over function fields On Hecke \(L\) -series associated with cubic characters

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.811672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.673786Z digest=sha256:a2eb52ab0c0260438a216f8d191a013e9630e01c2db4a5c29daf44c764821a05

Observation f8130a84-34d7-4313-b12a-e80e00e26301 · outbound

This paper cites Number theory in function fields , volume 210 of Grad.

The second moment of cubic Dirichlet L-functions over function fields Number theory in function fields , volume 210 of Grad

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.799857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.677463Z digest=sha256:05175715b9460ec510f8a4febda3df47c4e93d426578a63ad1ba4dc0bee68a18

Observation 38bfc489-19f5-404f-9a9c-f7d6d59cab44 · outbound

This paper cites Soundararajan.

The second moment of cubic Dirichlet L-functions over function fields Soundararajan

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:06:50.787610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.680866Z digest=sha256:0a0bb106aa4ef6afdb9e90ea579e7ddea9eb79ff4b2e180253b7a70d1f01db0e

Observation fc44558e-6542-466a-aadb-71e76bfc975c · outbound

This paper cites an unresolved cited work.

The second moment of cubic Dirichlet L-functions over function fields Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:06:50.776182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T21:06:50.684509Z digest=sha256:dae36752f73086d80561744dbf58736f47fe67b5a63070384f54ad3b54c8fe44

Pith citing papers

Observation c03fa886-5be5-496a-bc20-7ff1a1e3119f · inbound

Twisted second moment of primitive cubic L-functions cites this paper.

Twisted second moment of primitive cubic L-functions The second moment of cubic Dirichlet L-functions over function fields

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:06:31.946585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T20:06:31.831299Z digest=sha256:8b4288a1fa9eaa609f134c41190383ba214f8c9e249e756075019fe3f1ac6782

Observation 4400b2ce-9ffe-4375-8779-b3ad92914b69 · inbound

Upper bound for the moment of shifted values of cubic $L$-functions over function fields cites this paper.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields The second moment of cubic Dirichlet L-functions over function fields

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-16T00:44:49.558049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:44:49.558049Z digest=sha256:da7ca0711b1f84814b87e4d316836f0b1fd5de257bea9e8631e23ebe0dd8930d