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.
机构:
Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math Sci, Huaian 223300, Jiangsu, Peoples R China
机构:
Chanakya Univ Global Campus, Sch Math & Nat Sci, Haraluru Village 562110, Karnataka, IndiaChanakya Univ Global Campus, Sch Math & Nat Sci, Haraluru Village 562110, Karnataka, India