Some congruences related to a congruence of Van Hamme

By Victor J. W. Guo, Ji-Cai Liu. Integral transforms and special functions, 2019

47 citations recorded by the source corpus.

ABSTRACT We establish some supercongruences related to a supercongruence of Van Hamme, such as where p is an odd prime and is the th Euler number. Our proof uses some congruences of Z.-W. Sun, the Wilf–Zeilberger method, Whipple's transformation, and the Mathematica package Sigma developed by Schneider. We also put forward two related conjectures.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/c538046a8d16435e4866d7e7b86e9d05a5b4631a