Paper Citation Record · LEDGER

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

As of 19 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2608.11611.

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

pith.paper-citation-record.v1
2608.11611 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:44:49.616715Z

measured 31 of 31 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 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

31 of 31 outbound references displayed

verified exact0
verified fuzzy20
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 59088338-9faf-4e1e-9a56-a0d23524274b · outbound

This paper cites an unresolved cited work.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:44:50.224803Z

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.

Observation e5024fb7-7fe9-4042-880a-61c999ac4429 · outbound

This paper cites an unresolved cited work.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:44:50.207944Z

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.

Observation c3ef8498-76e7-479d-b3c7-8ddcffdd0503 · outbound

This paper cites Baier and M.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Baier and M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:50.190172Z

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.

Observation 47ceca86-af36-4148-b1ce-2ddbf4e5d27e · outbound

This paper cites Bary-Soroker and P.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Bary-Soroker and P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:50.172220Z

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.

Observation e451104c-6444-42a5-9170-b011d3e3201e · outbound

This paper cites Bucur, E.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Bucur, E

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:50.152744Z

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.

Observation 95efd490-6bdd-4f73-ae30-895edb365917 · outbound

This paper cites an unresolved cited work.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:44:50.131650Z

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.

Observation 1a78c8f2-97a3-40cf-84e1-694647e6e152 · outbound

This paper cites an unresolved cited work.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:44:50.110870Z

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.

Observation 74fc926a-81ec-455e-886e-9f940cb9b031 · outbound

This paper cites Chandee, On the correlation of shifted values of the Riemann zeta function, The Quarterly Journal of Mathematics , 62 (2011), pp.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Chandee, On the correlation of shifted values of the Riemann zeta function, The Quarterly Journal of Mathematics , 62 (2011), pp

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:50.088246Z

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.

Observation d131b3c4-9185-4410-bfb1-96233f5a2ee9 · outbound

This paper cites an unresolved cited work.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:44:50.069881Z

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.

Observation 3ebb3694-3983-499a-8275-d477c055ca88 · outbound

This paper cites Darbar and G.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Darbar and G

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:50.048283Z

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.

Observation 9d231d38-14e5-4ff0-9e98-e122025fe6fe · outbound

This paper cites David, A.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields David, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:50.026392Z

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.

Observation d95268c5-1ef5-4a81-a237-bc64081b776e · outbound

This paper cites David, A.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields David, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:50.009388Z

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.

Observation a6f969d1-5bcc-4e58-94bf-f37b28a2cf2a · outbound

This paper cites Nonvanishing of $L$--functions associated to fixed order characters over function fields.

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.

Observation 6fa535e1-47f9-43e3-8272-d8fbfb7a5b7b · outbound

This paper cites Diaconu, Mean square values of Hecke L-series formed with r-th order characters, Invent.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Diaconu, Mean square values of Hecke L-series formed with r-th order characters, Invent

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.989064Z

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.

Observation 00aa49f8-7015-4947-a4f4-a1acc775782e · outbound

This paper cites Florea, Improving the error term in the mean value of L(1/2,χ ) in the hyperelliptic ensemble, Int.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Florea, Improving the error term in the mean value of L(1/2,χ ) in the hyperelliptic ensemble, Int

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.971227Z

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.

Observation abfe5ecd-8cde-4599-a3c8-3c8f63041bf3 · outbound

This paper cites Florea, The second and third moment of L(1/2,χ ) in the hyperelliptic ensemble, Forum Math., 29 (2017), no.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Florea, The second and third moment of L(1/2,χ ) in the hyperelliptic ensemble, Forum Math., 29 (2017), no

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.954495Z

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.

Observation 0d258cde-52e5-46f2-9058-032c48ca450a · outbound

This paper cites Florea, The fourth moment of L(1/2,χ ) in the hyperelliptic ensemble, Geometric and Functional Analysis, 27 (2017), no.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Florea, The fourth moment of L(1/2,χ ) in the hyperelliptic ensemble, Geometric and Functional Analysis, 27 (2017), no

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.935907Z

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.

Observation bfec3c20-c8b4-4721-b34f-4f22dad48967 · outbound

This paper cites Friedberg, J.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Friedberg, J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.917665Z

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.

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

This paper cites The second moment of cubic Dirichlet L-functions over function fields.

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.

Observation 6d136945-2393-4b1e-9d37-bb4437ebbc3d · outbound

This paper cites Sharp conditional bounds for moments of the Riemann zeta function.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Sharp conditional bounds for moments of the Riemann zeta function

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T00:44:49.562976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f0f05fe-92ea-4e73-bfbc-5efe64bf9ff8 · outbound

This paper cites an unresolved cited work.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:44:49.899712Z

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.

Observation 2ff7c1ef-4b8d-425c-8aa0-56d1cafc968a · outbound

This paper cites an unresolved cited work.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:44:49.882591Z

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.

Observation bf7b3f45-7473-4538-93e9-150e81a29304 · outbound

This paper cites Kirila, An upper bound for discrete moments of the derivative of the Riemann zeta-function, Mathematika, 66 (2020), no.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Kirila, An upper bound for discrete moments of the derivative of the Riemann zeta-function, Mathematika, 66 (2020), no

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.864922Z

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.

Observation 665454df-5329-4c57-9aa7-4d8a4941e437 · outbound

This paper cites Luo, On Hecke L-series associated with cubic characters, Compos.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Luo, On Hecke L-series associated with cubic characters, Compos

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.845762Z

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.

Observation 7b498508-abc5-4606-9762-184260098b12 · outbound

This paper cites an unresolved cited work.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:44:49.826973Z

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.

Observation 09699838-8696-4d80-a30c-d65c8e2a63ab · outbound

This paper cites Rosen, Average value of class numbers in cyclic extensions of the rational function ﬁeld, Number theory (Halifax, NS, 1994), CMS Conf.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Rosen, Average value of class numbers in cyclic extensions of the rational function ﬁeld, Number theory (Halifax, NS, 1994), CMS Conf

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.810683Z

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.

Observation cb83fe51-e872-40b5-ae21-7fa7b7203278 · outbound

This paper cites Rosen, Number theory in function ﬁelds, Graduate Texts in Mathematics , 210 (2002), Springer-Verlag, New York.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Rosen, Number theory in function ﬁelds, Graduate Texts in Mathematics , 210 (2002), Springer-Verlag, New York

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.792166Z

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.

Observation ec15a832-d17a-4f31-a40f-65d81b98d3de · outbound

This paper cites Shen, The fourth moment of quadratic Dirichlet L-functions, Math.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Shen, The fourth moment of quadratic Dirichlet L-functions, Math

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.773708Z

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.

Observation f61f2417-7177-4f4b-a1a0-1f8f9498f889 · outbound

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

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Soundararajan, Nonvanishing of quadratic Dirichlet L-functions at s = 1/2, Ann

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.755770Z

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.

Observation c2e7a5e6-d69f-44b8-a491-3c441c6a32ce · outbound

This paper cites Soundararajan, Moments of the Riemann zeta function, Ann.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Soundararajan, Moments of the Riemann zeta function, Ann

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.734078Z

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.

Observation 431560fd-3fb8-484f-9377-ad88c39941c2 · outbound

This paper cites Weil, Sur les courbes alg´ ebriques et les vari´ et´ es qui s’en d´ eduisent,Actualit´ es Sci.

Upper bound for the moment of shifted values of cubic $L$-functions over function fields Weil, Sur les courbes alg´ ebriques et les vari´ et´ es qui s’en d´ eduisent,Actualit´ es Sci

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:44:49.714879Z

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.

Pith citing papers

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