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Supercongruences for truncated Appell series

Volume 158 / 2019

Ji-Cai Liu 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.

Authors

  • Ji-Cai LiuDepartment of Mathematics
    Wenzhou University
    Wenzhou 325035, P.R. China
    e-mail

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