Paper Citation Record · LEDGER

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series

As of 12 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 2 inbound Pith citation observations for arXiv:2502.08760.

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

pith.paper-citation-record.v1
2502.08760 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T23:52:01.036634Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:02:02.089444Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T19:13:09.790389Z

Reference resolution

33 of 33 outbound references displayed

verified exact1
verified fuzzy26
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7da68874-ad09-4a56-98be-9013fa95729c · outbound

This paper cites The Explicit Hypergeometric-Modularity Method I.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series The Explicit Hypergeometric-Modularity Method I

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T23:52:01.131518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3bb00781-0b9d-4ec0-b475-36a7dcee6c9f · outbound

This paper cites The Explicit Hypergeometric-Modularity Method II.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series The Explicit Hypergeometric-Modularity Method II

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T23:52:00.948959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b81aeb0f-9cda-4d6c-a92f-c29e24086136 · outbound

This paper cites Andrews, Richard Askey, and Ranjan Roy.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Andrews, Richard Askey, and Ranjan Roy

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.369048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 25d7af29-1dee-4a28-bd79-383f87283252 · outbound

This paper cites Simple factors of the Jacobian of a Fermat cu rve and the Picard number of a product of Fermat curves.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Simple factors of the Jacobian of a Fermat cu rve and the Picard number of a product of Fermat curves

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.361815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3d40d90e-ddb3-4478-8d5a-68638c6fc458 · outbound

This paper cites Hypergeometric abelian varieties.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Hypergeometric abelian varieties

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.354234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c0e1db71-c375-4aad-8bb0-62cbcf2958dc · outbound

This paper cites Hecke operators on noncongruence subgr oups.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Hecke operators on noncongruence subgr oups

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.346627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6f6b75fb-29ee-489d-8563-8aadfbda2227 · outbound

This paper cites Borwein and Peter B.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Borwein and Peter B

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.338810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fc943e1a-3c8c-4a33-a4f2-8a602ef76d54 · outbound

This paper cites Rigid local systems, Hilbert modular form s, and Fermat’s last theorem.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Rigid local systems, Hilbert modular form s, and Fermat’s last theorem

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.331237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1620f4f0-e9dc-43ac-a1a3-5b730f24b0c2 · outbound

This paper cites A ﬁrst course in modular forms , volume 228 of Graduate Texts in Mathe- matics.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series A ﬁrst course in modular forms , volume 228 of Graduate Texts in Mathe- matics

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.323591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fd84b4d2-e4f6-491c-bcf7-dd9d487a7090 · outbound

This paper cites Elliptic curves with ex ceptionally large analytic order of the Tate-Shafarevich groups.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Elliptic curves with ex ceptionally large analytic order of the Tate-Shafarevich groups

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.316270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1e92b8fd-c597-40af-8dc3-c43cc2f8d720 · outbound

This paper cites Hypergeometric functions over ﬁnite ﬁeld s.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Hypergeometric functions over ﬁnite ﬁeld s

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.309181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 16670784-dee1-43a1-8eb9-4922b0e0af2f · outbound

This paper cites an unresolved cited work.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T23:52:01.302203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0a09c2b2-96e3-4d29-966a-6da3f1af97f0 · outbound

This paper cites an unresolved cited work.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T23:52:01.295272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 924d1a70-e862-493a-a1f5-3e76cbae86e9 · outbound

This paper cites Gross and Neal Koblitz.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Gross and Neal Koblitz

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.287929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c9fbcccd-c562-45bb-b72d-2a8e10c10fe5 · outbound

This paper cites A classical introduction to modern number theory , volume 84 of Graduate Texts in Mathematics.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series A classical introduction to modern number theory , volume 84 of Graduate Texts in Mathematics

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.279307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f5017106-710a-4a90-bbd3-a8fc52e30e0c · outbound

This paper cites On a family of quotient s of Fermat curves.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series On a family of quotient s of Fermat curves

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.271324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 45d301f1-eec4-4bb4-a127-e6e496445e0f · outbound

This paper cites Simple factors in the J acobian of a Fermat curve.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Simple factors in the J acobian of a Fermat curve

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.263395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2aa3cd61-b2c0-4933-82a4-fab34bb844c3 · outbound

This paper cites Compu ting special L-values of certain modular forms with complex multiplication.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Compu ting special L-values of certain modular forms with complex multiplication

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.255684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ba510b04-75c4-4afe-8269-d172d68c88d7 · outbound

This paper cites On Hecke operators and products of the Dede kind η-function.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series On Hecke operators and products of the Dede kind η-function

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.248323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8923ff1a-d48a-4e17-9bc5-60372a961672 · outbound

This paper cites Eta-quotients and elliptic cur ves.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Eta-quotients and elliptic cur ves

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.241117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b3121d6e-2ac6-49fd-be97-3359ccfd1a7e · outbound

This paper cites Interpolated sequence s and critical L-values of modular forms.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Interpolated sequence s and critical L-values of modular forms

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.233729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation af83e25e-ee9a-44c0-b9a8-4bcc6f03fe25 · outbound

This paper cites On special values of Jacobi-sum Hecke L-functions.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series On special values of Jacobi-sum Hecke L-functions

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.225605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 045575f7-44b2-41fd-ae7e-325449e69227 · outbound

This paper cites an unresolved cited work.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T23:52:01.217311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c9d1c1d8-438e-491f-ab69-2eb226e5f123 · outbound

This paper cites Modular Functions and the Fermat Curves.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Modular Functions and the Fermat Curves

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.209337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b20704e5-8775-42c4-b39d-2ce3773ef2f5 · outbound

This paper cites Transcendence of 3F2(1) hypergeometric series and L-values of modular forms.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Transcendence of 3F2(1) hypergeometric series and L-values of modular forms

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T23:52:01.014936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f401992d-32ec-4241-a2ec-fd98e99ba422 · outbound

This paper cites On elliptic curves with complex multipli cation as factors of the Jacobians of modular function ﬁelds.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series On elliptic curves with complex multipli cation as factors of the Jacobians of modular function ﬁelds

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.201535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c9e1ada9-3647-4034-8c8a-e3099c0726a4 · outbound

This paper cites Modular forms, a computational approach , volume 79 of Graduate Studies in Mathematics.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Modular forms, a computational approach , volume 79 of Graduate Studies in Mathematics

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.192877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation dc1c9026-b857-426f-8e6d-691bcdbeb18c · outbound

This paper cites On the Picard-Fuchs eq uation and the formal Brauer group of certain elliptic K3-surfaces.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series On the Picard-Fuchs eq uation and the formal Brauer group of certain elliptic K3-surfaces

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.184985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 92f0256b-3fa2-40e7-859c-9c39397794f7 · outbound

This paper cites an unresolved cited work.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T23:52:01.175742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 16e75dff-9826-4377-acf3-aa101bb5e1fc · outbound

This paper cites Gr¨ ossencharaktere.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series Gr¨ ossencharaktere

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.166596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 445ecb6a-0d06-45d1-a822-e5a7a05b3f4c · outbound

This paper cites W erte hypergeometrischer Funktionen.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series W erte hypergeometrischer Funktionen

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.157440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1d287e63-c8e1-4e5e-a80a-a633327870eb · outbound

This paper cites The arithmetic and topology of diﬀerential equations.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series The arithmetic and topology of diﬀerential equations

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.148313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9079577f-1b43-4cf9-a07d-21fb634950ac · outbound

This paper cites A hypergeometric version of the modular ity of rigid Calabi-Yau manifolds.

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series A hypergeometric version of the modular ity of rigid Calabi-Yau manifolds

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T23:52:01.140219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation db96e4c4-947f-4338-91b8-fd1ce6ba93b6 · inbound

On Some Hypergeometric Modularity Conjectures of Dawsey and McCarthy cites this paper.

On Some Hypergeometric Modularity Conjectures of Dawsey and McCarthy Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-06T14:02:02.089444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0225394-b4c8-4f06-821e-cb2a8cb258d0 · inbound

Explicit hypergeometric modularity of certain weight two and four Hecke eigenforms cites this paper.

Explicit hypergeometric modularity of certain weight two and four Hecke eigenforms Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-13T19:13:09.791890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.