A $p$-adic supercongruence conjecture of van Hamme
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- by Eric Mortenson
- Proc. Amer. Math. Soc. 136 (2008), 4321-4328
- DOI: https://doi.org/10.1090/S0002-9939-08-09389-1
- Published electronically: 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.References
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Bibliographic Information
- Eric Mortenson
- Affiliation: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
- Email: mort@math.psu.edu
- 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
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 4321-4328
- MSC (2000): Primary 33C20; Secondary 11S80
- DOI: https://doi.org/10.1090/S0002-9939-08-09389-1
- MathSciNet review: 2431046