A 𝑝-adic supercongruence conjecture of van Hamme

Mortenson, Eric

doi:10.1090/S0002-9939-08-09389-1

A $p$-adic supercongruence conjecture of van Hamme
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Proc. Amer. Math. Soc. 136 (2008), 4321-4328 Request permission

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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