Paper Citation Record · LEDGER

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions

As of 13 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2607.16331.

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pith.paper-citation-record.v1
2607.16331 v1

Coverage vector

measured 53 of 53 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T02:34:51.730831Z

measured 53 of 53 standing notices

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Reference resolution

53 of 53 outbound references displayed

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Outbound references

Observation f7b65a4a-c198-47f2-a365-67243aa48712 · outbound

This paper cites Gaussian hypergeometric series and combinatorial congruences.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Gaussian hypergeometric series and combinatorial congruences

Reference 1

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Observation ca4a492c-d09c-4b07-a1af-06bcd362df7f · outbound

This paper cites A Gaussian hypergeometric series evaluation and Ap´ ery number congruences.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions A Gaussian hypergeometric series evaluation and Ap´ ery number congruences

Reference 2

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Observation b247af09-8621-470d-8784-3e7f1c565f11 · outbound

This paper cites The explicit hypergeometric-modularity method I.Adv.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions The explicit hypergeometric-modularity method I.Adv

Reference 3

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Observation b5aae920-347d-482c-92ae-c1bcc0c40092 · outbound

This paper cites The explicit hypergeometric-modularity method II.Res.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions The explicit hypergeometric-modularity method II.Res

Reference 4

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Observation b27a47e1-c884-466f-a454-ef150c04fe3f · outbound

This paper cites PhD thesis, ETH Z¨ urich, 2000.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions PhD thesis, ETH Z¨ urich, 2000

Reference 5

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Observation 9503ed6b-c0b6-49ac-b650-b9427a513e06 · outbound

This paper cites Exceptional sets of hypergeometric series.J.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Exceptional sets of hypergeometric series.J

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Resolution: unresolved; no resolver link, observed 2026-08-02T02:34:46.156303Z

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Observation b26e285d-0b7d-4afd-a014-560b15f3d264 · outbound

This paper cites Special L-values of certain CM weight three Hecke eigenforms.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Special L-values of certain CM weight three Hecke eigenforms

Reference 7

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Observation 2b45be7e-6d8e-4c1d-a10b-9b3d02394e38 · outbound

This paper cites Quaternionic modular forms and exceptional sets of hypergeometric functions.Int.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Quaternionic modular forms and exceptional sets of hypergeometric functions.Int

Reference 8

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Observation e4b9423e-94c0-4489-ae42-31b4c52be66b · outbound

This paper cites Picard-Fuchs equations for Shimura curves overQ.Bull.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Picard-Fuchs equations for Shimura curves overQ.Bull

Reference 9

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Observation b3ffe20e-25ed-4621-843e-d15d221f0eca · outbound

This paper cites Generalized Ramanujan-Sato series arising from modular forms.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Generalized Ramanujan-Sato series arising from modular forms

Reference 10

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Observation 96a3b50a-4642-459f-807d-d68ce03ddccc · outbound

This paper cites Beukers and G.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Beukers and G

Reference 11

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Observation 2a4ba15f-152d-4fa5-8d60-62b53af5108a · outbound

This paper cites Arithmetic triangle groups, hauptmoduln, complex multiplication, and hypergeometric functions, 2024.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Arithmetic triangle groups, hauptmoduln, complex multiplication, and hypergeometric functions, 2024

Reference 12

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Observation e4d326ac-3edd-40c5-a21d-1b4b234d12c8 · outbound

This paper cites American Mathematical Society, Providence, RI, 2017.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions American Mathematical Society, Providence, RI, 2017

Reference 13

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Observation 67c14ea2-c945-417a-a98f-de9641bf681b · outbound

This paper cites Modular embeddings for some non-arithmetic fuchsian groups.Acta Arithmetica, 56(2):93–110, 1990.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Modular embeddings for some non-arithmetic fuchsian groups.Acta Arithmetica, 56(2):93–110, 1990

Reference 14

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Observation 47ded506-22e8-463f-b0eb-656604a24891 · outbound

This paper cites Cohen and Gisbert W¨ ustholz.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Cohen and Gisbert W¨ ustholz

Reference 15

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Observation 45a994e6-ca58-4423-bd1a-de3c0e2c7046 · outbound

This paper cites Fuselier, Ling Long, Holly Swisher, and Fang-Ting Tu.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Fuselier, Ling Long, Holly Swisher, and Fang-Ting Tu

Reference 16

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Observation 286e2392-392b-4e2d-ba73-a24d8e0d2774 · outbound

This paper cites Fuselier, Ling Long, Holly Swisher, and Fang-Ting Tu.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Fuselier, Ling Long, Holly Swisher, and Fang-Ting Tu

Reference 17

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Observation 239acabe-86d2-4547-a76e-64cc0dfa5518 · outbound

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Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Unresolved cited work

Reference 18

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Observation 1bc30d5b-b495-4e66-930c-c348d4bfebc7 · outbound

This paper cites Tretkoff, and Paula Tretkoff.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Tretkoff, and Paula Tretkoff

Reference 19

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Observation 57a30518-11d0-4f0d-ae51-35c4a92e653a · outbound

This paper cites https://dlmf.nist.gov/, 2025.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions https://dlmf.nist.gov/, 2025

Reference 20

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Observation 5f505e97-10db-411f-b6a0-09c3f389ae57 · outbound

This paper cites Subvarieties of Shimura varieties.Ann.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Subvarieties of Shimura varieties.Ann

Reference 21

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Observation 3fbb9860-7cd7-4076-864d-25a33155aa8e · outbound

This paper cites Hypergeometric functions over finite fields.Mem.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Hypergeometric functions over finite fields.Mem

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Observation 42a8d039-0a8c-4310-91eb-8a33287ed2da · outbound

This paper cites Traces of Hecke Operators via Hypergeometric Character Sums.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Traces of Hecke Operators via Hypergeometric Character Sums

Reference 23

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Observation 17be01e8-7728-436c-95b0-74bcb6ff8baa · outbound

This paper cites An extension of the Ap´ ery number supercongruence.Acta Arith., 123(4):335–348, 2006.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions An extension of the Ap´ ery number supercongruence.Acta Arith., 123(4):335–348, 2006

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Observation 8d0bf576-9dab-4982-94fa-7d05ef4a7776 · outbound

This paper cites Springer-Verlag, New York, 1983.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Springer-Verlag, New York, 1983

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T02:34:48.569614Z

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Observation e3b21b5c-5ce0-4644-9dad-baca24b9011c · outbound

This paper cites Springer-Verlag, New York, second edition, 1987.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Springer-Verlag, New York, second edition, 1987

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Observation a4020452-e21c-4b66-b759-dc35f82d9c54 · outbound

This paper cites Computing special L-values of certain modular forms with complex multiplication.SIGMA Symmetry Integrability Geom.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Computing special L-values of certain modular forms with complex multiplication.SIGMA Symmetry Integrability Geom

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Resolution: unresolved; no resolver link, observed 2026-08-02T02:34:48.856949Z

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Observation 57f0125e-578c-479f-9c7d-fffbee140f17 · outbound

This paper cites Supplement M´ emoire.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Supplement M´ emoire

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Observation fce901b1-f861-4e26-a38b-315a543765c0 · outbound

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

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Explicit hypergeometric modularity of certain weight two and four Hecke eigenforms

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Observation c7927f54-85dc-46f0-a429-71bf62facc60 · outbound

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Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Unresolved cited work

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Observation 1477a884-1816-42a9-9ec8-bed75eda8da7 · outbound

This paper cites Distribution of values of Gaussian hypergeometric functions.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Distribution of values of Gaussian hypergeometric functions

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Observation ea84e754-5194-43d3-a7b7-ca339dc06d37 · outbound

This paper cites L-values of certain weight 3 modular forms and transformations of hypergeometric series.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions L-values of certain weight 3 modular forms and transformations of hypergeometric series

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Observation b67e3230-8888-4b78-ac27-65ecef680a20 · outbound

This paper cites Modular forms and certain 2F1(1) hypergeometric series.Proc.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Modular forms and certain 2F1(1) hypergeometric series.Proc

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Observation 577eb004-c573-414d-afe9-50a8ec85eea9 · outbound

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Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Arithmetische Untersuchungen elliptischer Integrale.Math

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Observation 15820eb3-f392-45fc-801f-98ae9c2d7a7e · outbound

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Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Unresolved cited work

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Observation 79758afe-e63d-4c9a-8578-ea7e490a4b9a · outbound

This paper cites Algebraic values of Schwarz triangle functions.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Algebraic values of Schwarz triangle functions

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Observation 5f773386-1753-4972-b4c9-375bfa529165 · outbound

This paper cites Mathematical Society of Japan, Tokyo, 1961.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Mathematical Society of Japan, Tokyo, 1961

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Observation 5979a77c-91d3-49ba-be4d-e412fcc00ae4 · outbound

This paper cites Silverman.Advanced Topics in the Arithmetic of Elliptic Curves, volume 151 ofGraduate Texts in Mathematics.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Silverman.Advanced Topics in the Arithmetic of Elliptic Curves, volume 151 ofGraduate Texts in Mathematics

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Observation e1846cc0-15eb-45f7-9d0d-179d212856cf · outbound

This paper cites Cambridge University Press, Cambridge, 1966.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Cambridge University Press, Cambridge, 1966

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Observation 7c7cc03e-a91e-4350-9636-86f6722ea6a1 · outbound

This paper cites Arithmetic triangle groups.J.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Arithmetic triangle groups.J

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Observation 249abf3a-9214-4a21-b19d-299fcc19ea82 · outbound

This paper cites Commensurability classes of arithmetic triangle groups.J.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Commensurability classes of arithmetic triangle groups.J

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Observation 9df46210-4ea8-4e04-ad44-ec20fea12366 · outbound

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

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions The L-functions and modular forms database

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Observation a4120696-1f71-4a56-81ab-13a05b9e5107 · outbound

This paper cites Sagemath, the sage mathematics software system (Version 10.6).

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Sagemath, the sage mathematics software system (Version 10.6)

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Observation 4ba02933-57e3-4d39-98cc-b2150c1cd4a0 · outbound

This paper cites Transcendence of special values of modular and hypergeometric functions.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Transcendence of special values of modular and hypergeometric functions

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Observation 4552c0a3-c7cd-4a7e-a586-cca85415c30d · outbound

This paper cites Transcendence of values of transcendental functions at algebraic points (inaugural Monroe H.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Transcendence of values of transcendental functions at algebraic points (inaugural Monroe H

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Observation 3a564451-fc2a-4d2b-aa72-6835eb78094b · outbound

This paper cites Advanced Textbooks in Mathematics.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Advanced Textbooks in Mathematics

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Observation 9fdb88a2-90b2-4d4c-81cf-014277b3c97f · outbound

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This paper cites Werte hypergeometrischer Funktionen.Invent.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Werte hypergeometrischer Funktionen.Invent

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Observation 681c72f7-4e7e-4eab-a39e-4c0455f335fa · outbound

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Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Der ¨ uberlagerungsradius gewisser algebraischer Kurven und die Werte der Betafunktion an rationalen Stellen.Math

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Resolution: unresolved; no resolver link, observed 2026-08-02T02:34:51.423977Z

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Observation a4ffdcab-4e3c-4dca-b415-862b608c4d37 · outbound

This paper cites Mathematica, version 14.1.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Mathematica, version 14.1

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Resolution: unresolved; no resolver link, observed 2026-08-02T02:34:51.493842Z

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Observation fd822c54-94c4-4d26-be0e-c719f513e305 · outbound

This paper cites Schwarzian differential equations and Hecke eigenforms on Shimura curves.Compos.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Schwarzian differential equations and Hecke eigenforms on Shimura curves.Compos

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Observation 49efad43-cd7f-413b-8378-7654e72786cf · outbound

This paper cites Special values of hypergeometric functions and periods of CM elliptic curves.Trans.

Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Special values of hypergeometric functions and periods of CM elliptic curves.Trans

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Observation 8c411de9-68cf-4314-a1c9-b50dbdb05fce · outbound

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Exceptional Sets for Certain ${}_2F_1$ Hypergeometric Functions Unresolved cited work

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