Paper Citation Record · LEDGER

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$

As of 9 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.20942.

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

pith.paper-citation-record.v1
2506.20942 v4

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:48:28.497321Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

19 of 19 outbound references displayed

verified exact2
verified fuzzy12
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e97d2bb5-eb21-4650-9717-2a010b380fa2 · outbound

This paper cites Blasius,On the critical values of Hecke L-series, Ann.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Blasius,On the critical values of Hecke L-series, Ann

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:48:32.875155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 71a1b08b-29d2-432c-b408-7a00f81b6267 · outbound

This paper cites Hida,On the critical values ofL-functions ofGL(2)andGL(2)×GL(2), Duke Math.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Hida,On the critical values ofL-functions ofGL(2)andGL(2)×GL(2), Duke Math

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:48:31.389133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f01ec39e-a7f4-4abc-a4f7-95fd1dab5b23 · outbound

This paper cites [vE58] van Est,A generalization of the Cartan-Leray spectral sequence II, Indagationes Math.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ [vE58] van Est,A generalization of the Cartan-Leray spectral sequence II, Indagationes Math

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:48:29.666946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d5243f70-58e7-40b3-8e5b-b26e72280376 · outbound

This paper cites Waldspurger,La formule de Plancherel pour les groupesp-adiques (d’apr` es Harish- Chandra), J.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Waldspurger,La formule de Plancherel pour les groupesp-adiques (d’apr` es Harish- Chandra), J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:48:29.433959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8513304b-1153-45d3-b3e0-65dc959a4c4b · outbound

This paper cites an unresolved cited work.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Unresolved cited work

Reference 1967

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:48:30.895984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0a35c322-c66d-4bba-94cd-2162db866014 · outbound

This paper cites Kasten and C.-G.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Kasten and C.-G

Reference 1981

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:48:31.116388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2b7c82c5-3818-4b49-bbf0-ffd54dd05528 · outbound

This paper cites an unresolved cited work.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Unresolved cited work

Reference 1987

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:48:31.915599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 16bbd4a7-5599-4b36-8442-968c1d57f8c4 · outbound

This paper cites [Sch93] C.-G.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ [Sch93] C.-G

Reference 1988

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:48:30.101179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0431df4c-e23f-453d-bb99-e554ae04c8ab · outbound

This paper cites Deligne,Valeurs de fonctions L et p´ eriodes d’int´ egrales, In Automorphic forms, rep- resentations and L-functions (Proc.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Deligne,Valeurs de fonctions L et p´ eriodes d’int´ egrales, In Automorphic forms, rep- resentations and L-functions (Proc

Reference 1990

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:48:32.631443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9d23af07-6041-4da6-a739-37d65bba8d00 · outbound

This paper cites an unresolved cited work.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Unresolved cited work

Reference 1995

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:48:30.351248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2f15bff2-5aa2-4141-93d6-2465226d9781 · outbound

This paper cites Ishii and T.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Ishii and T

Reference 1999

Resolution: verified exact; raw_fallback, observed 2026-08-06T22:48:29.119779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 090cb8f9-5744-4acb-81aa-f00d23161238 · outbound

This paper cites Algebraicity of ratios of Rankin-Selberg $L$-functions and applications to Deligne's conjecture.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Algebraicity of ratios of Rankin-Selberg $L$-functions and applications to Deligne's conjecture

Reference 2000

Resolution: unresolved; no resolver link, observed 2026-08-06T22:48:26.374595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b87b2acd-aeb5-4dc3-9565-d87ffde50a7d · outbound

This paper cites Deligne's conjecture on the critical values of Hecke $L$-functions.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Deligne's conjecture on the critical values of Hecke $L$-functions

Reference 2005

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:48:28.790407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7336731b-12f3-414c-8c07-179c96943005 · outbound

This paper cites Li and B.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Li and B

Reference 2008

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:48:30.647377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b263fe70-ebfe-4b50-8e19-9ed219708bd2 · outbound

This paper cites Shimura,The special values of the zeta functions associated with cusp forms, Comm.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Shimura,The special values of the zeta functions associated with cusp forms, Comm

Reference 2010

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:48:29.899515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8f6ddac4-2ace-40e1-96a8-3d64f4de5b1a · outbound

This paper cites Harder,Period integral of Eisenstein cohomology classes and special values of some L-functions, Number theory related to Fermat’s last theorem (Cambridge, Mass., 1981), Progr.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Harder,Period integral of Eisenstein cohomology classes and special values of some L-functions, Number theory related to Fermat’s last theorem (Cambridge, Mass., 1981), Progr

Reference 2015

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:48:32.165409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9401f6a2-5408-4d03-ac5d-7580c9180d42 · outbound

This paper cites Deligne's conjecture for automorphic motives over CM-fields.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Deligne's conjecture for automorphic motives over CM-fields

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-06T22:48:26.719106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b891fab6-25d3-4fbe-b8ce-8ce5fc22795f · outbound

This paper cites Greni´ e,Critical values of automorphic L-functions forGL(r)×GL(r), Manuscripta Math.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Greni´ e,Critical values of automorphic L-functions forGL(r)×GL(r), Manuscripta Math

Reference 2017

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:48:32.403068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 64470306-2f15-489e-a4d9-f3da1a9ab37e · outbound

This paper cites Harder and N.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Harder and N

Reference 2020

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:48:31.643898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.