Supercongruences for truncated Appell series
Volume 158 / 2019
Colloquium Mathematicum 158 (2019), 255-263
MSC: Primary 11A07; Secondary 33C65.
DOI: 10.4064/cm7462-11-2018
Published online: 13 August 2019
Abstract
By using some combinatorial identities and supercongruences due to Van Hamme and Tauraso, we establish two supercongruences on the truncated Appell series $F_1$ and $F_2$, one of which is related to a supercongruence of Van Hamme.
