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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A $ p$-adic supercongruence conjecture of van Hamme

Author: Eric Mortenson
Journal: Proc. Amer. Math. Soc. 136 (2008), 4321-4328
MSC (2000): Primary 33C20; Secondary 11S80
Published electronically: June 11, 2008
MathSciNet review: 2431046
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Abstract: In this paper we prove a $ p$-adic supercongruence conjecture of van Hamme by placing it in the context of the Beukers-like supercongruences of Rodriguez-Villegas. This conjecture is a $ p$-adic analog of a formula of Ramanujan.

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Additional Information

Eric Mortenson
Affiliation: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802

PII: S 0002-9939(08)09389-1
Received by editor(s): September 18, 2007
Received by editor(s) in revised form: October 22, 2007
Published electronically: June 11, 2008
Communicated by: Ken Ono
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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