Supercongruences for truncated n+1Fn hypergeometric series with applications to certain weight three newforms

Mortenson, Eric (2005) Supercongruences for truncated n+1Fn hypergeometric series with applications to certain weight three newforms. Proceedings of the American Mathematical Society, 133 2: 321-330. doi:10.1090/S0002-9939-04-07697-X

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Author Mortenson, Eric
Title Supercongruences for truncated n+1Fn hypergeometric series with applications to certain weight three newforms
Formatted title
Supercongruences for truncated n+1Fn hypergeometric series with applications to certain weight three newforms
Journal name Proceedings of the American Mathematical Society   Check publisher's open access policy
ISSN 0002-9939
Publication date 2005
Sub-type Article (original research)
DOI 10.1090/S0002-9939-04-07697-X
Volume 133
Issue 2
Start page 321
End page 330
Total pages 10
Place of publication Providence, Rhode Island, U.S.A.
Publisher American Mathematical Society
Language eng
Subject 01 Mathematical Sciences
0199 Other Mathematical Sciences
Formatted abstract
We prove general results on supercongruences between values of truncated n+1Fn hypergeometric functions and their character analogs. As a consequence of the main results of this paper, we prove Beukers-type supercongruences for certain weight three newforms.
Keyword Beukers
Hypergeometric functions
Supercongruences
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Mathematics and Physics
 
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Citation counts: TR Web of Science Citation Count  Cited 24 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 23 times in Scopus Article | Citations
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Created: Thu, 24 Dec 2009, 14:11:45 EST by Maria Campbell on behalf of Faculty of Science