Work

A $p$-adic supercongruence conjecture of van Hamme

Year: 2008

Type: article

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.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/s0002-9939-08-09389-1

Author: Eric Mortenson

Institution: Pennsylvania State University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W1985199851

FWCI: 5.849

Cites: 18

Cited by: 107

Related to: 10