Paper Citation Record · LEDGER

Nonvanishing of $L$--functions associated to fixed order characters over function fields

As of 20 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 5 inbound Pith citation observations for arXiv:2506.07815.

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

pith.paper-citation-record.v1
2506.07815 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:44:49.744169Z

measured 40 of 40 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:04:19.453298Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T10:44:11.307217Z

Reference resolution

35 of 35 outbound references displayed

verified exact1
verified fuzzy18
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3f2facc9-5318-423e-a6d3-c5f90e09a808 · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.550174Z

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.

Observation af79e895-f201-4436-9bfe-69793336bc9c · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.533383Z

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.

Observation bca347d4-4a08-43d9-9a96-cc8fe45b44b9 · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.515292Z

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.

Observation 64ae473c-78ef-41e7-9660-6e52f1f86172 · outbound

This paper cites Young, Mean values with cubic characters, J.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Young, Mean values with cubic characters, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.496825Z

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.

Observation 72c841a2-5656-473b-842f-8a2567fc4c72 · outbound

This paper cites Number Theory 8 (2022), no.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Number Theory 8 (2022), no

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.477698Z

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.

Observation 5ad6e58d-a8b2-4784-974e-e4ee12094330 · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T05:44:49.616387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f062cc58-b438-4212-a50d-4872a1daa92d · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 7

Resolution: verified exact; raw_fallback, observed 2026-08-07T05:44:49.909199Z

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.

Observation 2e033188-9f06-43c4-9598-55dde1f40ec9 · outbound

This paper cites Sigma 9 (2021), Paper No.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Sigma 9 (2021), Paper No

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.459263Z

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.

Observation be518570-b0df-45f8-9295-d32c6d1fcaf8 · outbound

This paper cites 5, 1259--1326.

Nonvanishing of $L$--functions associated to fixed order characters over function fields 5, 1259--1326

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.437229Z

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.

Observation 13ec5db4-8799-4c53-8282-ee8fcd8b425d · outbound

This paper cites G\"ulo g lu, One-level density and non-vanishing for cubic L -functions over the E isenstein field , Int.

Nonvanishing of $L$--functions associated to fixed order characters over function fields G\"ulo g lu, One-level density and non-vanishing for cubic L -functions over the E isenstein field , Int

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.419723Z

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.

Observation 52065519-2cb1-426b-bd5e-fbd85be3e9c5 · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.402170Z

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.

Observation 60b16073-7b49-41b9-8976-0520d4467d2c · outbound

This paper cites Ellenberg, Wanlin Li, and Mark Shusterman, Nonvanishing of hyperelliptic zeta functions over finite fields, Algebra Number Theory 14 (2020), no.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Ellenberg, Wanlin Li, and Mark Shusterman, Nonvanishing of hyperelliptic zeta functions over finite fields, Algebra Number Theory 14 (2020), no

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.385940Z

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.

Observation e90081d5-3121-4437-9ee8-2572ecdb1e32 · outbound

This paper cites Florea, Improving the error term in the mean value of L( 12, ) in the hyperelliptic ensemble , Int.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Florea, Improving the error term in the mean value of L( 12, ) in the hyperelliptic ensemble , Int

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.370090Z

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.

Observation fea561ca-ed30-43ac-a9b3-23e897b8ccbd · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.349521Z

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.

Observation 518255a4-2fb6-4a8b-b103-246243faa877 · outbound

This paper cites G\" u lo g lu and Hamza Yesilyurt, Mollified moments of cubic D irichlet L -functions over the E isenstein field , J.

Nonvanishing of $L$--functions associated to fixed order characters over function fields G\" u lo g lu and Hamza Yesilyurt, Mollified moments of cubic D irichlet L -functions over the E isenstein field , J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.332488Z

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.

Observation 95154a2b-36b9-453b-ab3c-6708443b525e · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.315548Z

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.

Observation 448746f6-d5f1-445d-a0bb-d6198f3ab070 · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.298682Z

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.

Observation 7baf9a7b-609e-4b16-9fe2-0cd7d6eaf818 · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.282120Z

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.

Observation d8554f9f-6fd9-40ef-b927-4ec2ca4ceda0 · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.263607Z

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.

Observation b4e159ff-d0f8-45e8-9e19-daaff0c735ad · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.247334Z

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.

Observation f3c46774-fbe4-4c87-857c-a4efe62b317b · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.228079Z

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.

Observation 3a9f3306-cee8-482d-809a-4143b0eeb971 · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.210306Z

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.

Observation a425607e-9319-40d3-903c-1becd44a72ca · outbound

This paper cites 5 (1999), no.

Nonvanishing of $L$--functions associated to fixed order characters over function fields 5 (1999), no

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.193349Z

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.

Observation 2f542847-fde5-4635-8d46-aea007436399 · outbound

This paper cites Iwaniec and P.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Iwaniec and P

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.175852Z

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.

Observation 5839d5e1-4ce0-47ac-a672-421d7c6ee586 · outbound

This paper cites Ngo, Nonvanishing of D irichlet L -functions, II , Math.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Ngo, Nonvanishing of D irichlet L -functions, II , Math

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.159197Z

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.

Observation 9e2ffc38-4130-42e1-887a-4970656ea7c0 · outbound

This paper cites Katz and Peter Sarnak, Random matrices, F robenius eigenvalues, and monodromy , American Mathematical Society Colloquium Publications, vol.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Katz and Peter Sarnak, Random matrices, F robenius eigenvalues, and monodromy , American Mathematical Society Colloquium Publications, vol

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.142658Z

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.

Observation 26e6f581-2906-4e7a-964e-9da9bf12fe87 · outbound

This paper cites Montgomery, Topics in multiplicative number theory, Lecture Notes in Mathematics, Vol.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Montgomery, Topics in multiplicative number theory, Lecture Notes in Mathematics, Vol

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.125478Z

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.

Observation 86b2bf4c-4a76-41e2-929f-bd83205fcafc · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.108530Z

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.

Observation 98f4df80-c84e-4d6d-bcad-e93d1e3a4009 · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:50.093228Z

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.

Observation 49c6df92-c362-4c9e-ae57-5bc35f40780b · outbound

This paper cites H offstein , Glasg.

Nonvanishing of $L$--functions associated to fixed order characters over function fields H offstein , Glasg

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.077014Z

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.

Observation f5f70a75-f79d-4451-b0f0-06b9756fb230 · outbound

This paper cites 210, Springer-Verlag, New York, 2002.

Nonvanishing of $L$--functions associated to fixed order characters over function fields 210, Springer-Verlag, New York, 2002

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.059043Z

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.

Observation 063c0619-4922-4f6f-b5cc-cf28ae343b66 · outbound

This paper cites 143 (2010), no.

Nonvanishing of $L$--functions associated to fixed order characters over function fields 143 (2010), no

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.042301Z

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.

Observation 1ffc6a7e-a03a-4e4d-8957-0bfe17b075e2 · outbound

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

Nonvanishing of $L$--functions associated to fixed order characters over function fields Soundararajan, Nonvanishing of quadratic D irichlet L -functions at s= 12 , Ann

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.025082Z

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.

Observation ac34a285-5cfe-4724-a51a-0b4256997452 · outbound

This paper cites 254, Springer-Verlag, Berlin, 2009.

Nonvanishing of $L$--functions associated to fixed order characters over function fields 254, Springer-Verlag, Berlin, 2009

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:50.007592Z

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.

Observation 0255763c-492e-4045-9db3-0fc09309792c · outbound

This paper cites an unresolved cited work.

Nonvanishing of $L$--functions associated to fixed order characters over function fields Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:49.992008Z

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.

Pith citing papers

Observation f33fe9bf-32b4-493f-b6f1-0e85cdb2357b · inbound

The first moment of central value of primitive quartic $L$-functions with fixed genus cites this paper.

The first moment of central value of primitive quartic $L$-functions with fixed genus Nonvanishing of $L$--functions associated to fixed order characters over function fields

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T12:04:19.453298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e9fa96c-268f-47a6-93b8-89ac3e3f7102 · inbound

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

Twisted second moment of primitive cubic L-functions Nonvanishing of $L$--functions associated to fixed order characters over function fields

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T20:06:31.814087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6b7eb56-690f-4a52-ab1a-98ba438449de · inbound

Murmurations of quadratic and cubic characters over function fields cites this paper.

Murmurations of quadratic and cubic characters over function fields Nonvanishing of $L$--functions associated to fixed order characters over function fields

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T15:17:01.577192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 723a40ca-486d-46ca-ad8d-d706c557b854 · 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 $y^2=x^3-dx$ Nonvanishing of $L$--functions associated to fixed order characters over function fields

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:44:11.368853Z

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.

Observation a6f969d1-5bcc-4e58-94bf-f37b28a2cf2a · 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 Nonvanishing of $L$--functions associated to fixed order characters over function fields

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T00:44:49.527573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.