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A $ p$-adic supercongruence conjecture of van Hamme

Author(s): Eric Mortenson
Journal: Proc. Amer. Math. Soc. 136 (2008), 4321-4328.
MSC (2000): Primary 33C20; Secondary 11S80
Posted: June 11, 2008
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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
Email: mort@math.psu.edu

DOI: 10.1090/S0002-9939-08-09389-1
PII: S 0002-9939(08)09389-1
Received by editor(s): September 18, 2007,
Received by editor(s) in revised form: October 22, 2007
Posted: June 11, 2008
Communicated by: Ken Ono
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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