Paper Citation Record · LEDGER

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms

As of 8 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2506.08865.

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

pith.paper-citation-record.v1
2506.08865 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:14:34.950038Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

11 of 11 outbound references displayed

verified exact0
verified fuzzy9
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f89fb3e0-8561-4f56-ac02-9871f6a901a0 · outbound

This paper cites Formes modulaires et representations -adiques.

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms Formes modulaires et representations -adiques

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:35.153516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a2ebb72d-8613-46a3-9c87-474b7bca7fa4 · outbound

This paper cites Finite p - I rregular S ubgroups of PGL _2(k).

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms Finite p - I rregular S ubgroups of PGL _2(k)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:35.138286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 23767163-06f5-4512-9057-f15690bb3ff0 · outbound

This paper cites The L -functions and modular forms database.

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms The L -functions and modular forms database

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:35.123763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cf298c52-f34a-41ba-ac87-14ea25a8f00f · outbound

This paper cites an unresolved cited work.

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:14:35.107174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8252c416-ded1-40ea-8197-abd63399b41c · outbound

This paper cites On -adic representations and congruences for coefficients of modular forms.

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms On -adic representations and congruences for coefficients of modular forms

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:35.092941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a65b03b0-f3cc-47b6-badc-de0c1595a0a9 · outbound

This paper cites Congruence properties of (n).

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms Congruence properties of (n)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:35.076738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 669143b8-190e-4564-accb-684643f6ffec · outbound

This paper cites Congruences et formes modulaires.

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms Congruences et formes modulaires

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:35.059724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 530c463a-6822-4c0c-9634-703b16a6c527 · outbound

This paper cites A reciprocity law in non-solvable extensions.

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms A reciprocity law in non-solvable extensions

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:35.043805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fd3d7a99-8d45-437b-863e-b6d8cf0ed2c9 · outbound

This paper cites Voortgezette getaltheorie.

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms Voortgezette getaltheorie

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:35.025666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 967cc291-e99b-4754-af59-52623bee408b · outbound

This paper cites Overconvergent modular forms and their explicit arithmetic.

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms Overconvergent modular forms and their explicit arithmetic

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:35.008846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3bf09d0e-3d38-49b2-926d-daae70024a43 · outbound

This paper cites Euler-Kronecker constants of modular forms: beyond Dirichlet $L$-series.

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms Euler-Kronecker constants of modular forms: beyond Dirichlet $L$-series

Reference 12

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T05:14:34.992513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.