A Matrix Version of Dwork’s Congruences

Frits Beukers

doi:10.1007/978-3-030-84304-5_2

A Matrix Version of Dwork’s Congruences

Frits Beukers^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

In this article we give an example of a matrix version of the famous congruence for hypergeometric functions found by Dwork in ‘p-adic cycles’.

Original language	English
Title of host publication	Transcendence in Algebra, Combinatorics, Geometry and Number Theory
Subtitle of host publication	TRANS19 – Transient Transcendence in Transylvania, Brașov, Romania, May 13–17, 2019, Revised and Extended Contributions
Editors	Alin Bostan, Kilian Raschel
Publisher	Springer
Pages	47-59
Number of pages	13
Edition	1
ISBN (Electronic)	978-3-030-84304-5
ISBN (Print)	978-3-030-84303-8
DOIs	https://doi.org/10.1007/978-3-030-84304-5_2
Publication status	Published - 3 Nov 2021
Event	International Conference on Transient Transcendence in Transylvania, TRANS 2019 - Brașov, Romania Duration: 13 May 2019 → 17 May 2019

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	373
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	International Conference on Transient Transcendence in Transylvania, TRANS 2019
Country/Territory	Romania
City	Brașov
Period	13/05/19 → 17/05/19

Bibliographical note

Funding Information:
Work supported by the Netherlands Organisation for Scientific Research (NWO), grant TOP1EW.15.313.

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

Funding

Work supported by the Netherlands Organisation for Scientific Research (NWO), grant TOP1EW.15.313.

Access to Document

10.1007/978-3-030-84304-5_2

978-3-030-84304-5_2Final published version, 200 KBLicence: Taverne

Cite this

Beukers, F. (2021). A Matrix Version of Dwork’s Congruences. In A. Bostan, & K. Raschel (Eds.), Transcendence in Algebra, Combinatorics, Geometry and Number Theory: TRANS19 – Transient Transcendence in Transylvania, Brașov, Romania, May 13–17, 2019, Revised and Extended Contributions (1 ed., pp. 47-59). (Springer Proceedings in Mathematics and Statistics; Vol. 373). Springer. https://doi.org/10.1007/978-3-030-84304-5_2

Beukers, Frits. / A Matrix Version of Dwork’s Congruences. Transcendence in Algebra, Combinatorics, Geometry and Number Theory: TRANS19 – Transient Transcendence in Transylvania, Brașov, Romania, May 13–17, 2019, Revised and Extended Contributions. editor / Alin Bostan ; Kilian Raschel. 1. ed. Springer, 2021. pp. 47-59 (Springer Proceedings in Mathematics and Statistics).

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title = "A Matrix Version of Dwork{\textquoteright}s Congruences",

abstract = "In this article we give an example of a matrix version of the famous congruence for hypergeometric functions found by Dwork in {\textquoteleft}p-adic cycles{\textquoteright}.",

author = "Frits Beukers",

note = "Funding Information: Work supported by the Netherlands Organisation for Scientific Research (NWO), grant TOP1EW.15.313. Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.; International Conference on Transient Transcendence in Transylvania, TRANS 2019 ; Conference date: 13-05-2019 Through 17-05-2019",

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month = nov,

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doi = "10.1007/978-3-030-84304-5\_2",

language = "English",

isbn = "978-3-030-84303-8",

series = "Springer Proceedings in Mathematics and Statistics",

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Beukers, F 2021, A Matrix Version of Dwork’s Congruences. in A Bostan & K Raschel (eds), Transcendence in Algebra, Combinatorics, Geometry and Number Theory: TRANS19 – Transient Transcendence in Transylvania, Brașov, Romania, May 13–17, 2019, Revised and Extended Contributions. 1 edn, Springer Proceedings in Mathematics and Statistics, vol. 373, Springer, pp. 47-59, International Conference on Transient Transcendence in Transylvania, TRANS 2019, Brașov, Romania, 13/05/19. https://doi.org/10.1007/978-3-030-84304-5_2

A Matrix Version of Dwork’s Congruences. / Beukers, Frits.
Transcendence in Algebra, Combinatorics, Geometry and Number Theory: TRANS19 – Transient Transcendence in Transylvania, Brașov, Romania, May 13–17, 2019, Revised and Extended Contributions. ed. / Alin Bostan; Kilian Raschel. 1. ed. Springer, 2021. p. 47-59 (Springer Proceedings in Mathematics and Statistics; Vol. 373).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Beukers F. A Matrix Version of Dwork’s Congruences. In Bostan A, Raschel K, editors, Transcendence in Algebra, Combinatorics, Geometry and Number Theory: TRANS19 – Transient Transcendence in Transylvania, Brașov, Romania, May 13–17, 2019, Revised and Extended Contributions. 1 ed. Springer. 2021. p. 47-59. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-030-84304-5_2

A Matrix Version of Dwork’s Congruences

Abstract

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Bibliographical note

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