PROOF OF TWO CONJECTURES ON SUPERCONGRUENCES INVOLVING CENTRAL BINOMIAL COEFFICIENTS-Reference-Cited by-同舟云学术

PROOF OF TWO CONJECTURES ON SUPERCONGRUENCES INVOLVING CENTRAL BINOMIAL COEFFICIENTS

Published:2020-02-13 Issue:3 Volume:102 Page:360-364
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

GU CHENG-YANG^ORCID,GUO VICTOR J. W.^ORCID

Abstract

In this note we use some

$q$

-congruences proved by the method of ‘creative microscoping’ to prove two conjectures on supercongruences involving central binomial coefficients. In particular, we confirm the

$m=5$

case of Conjecture 1.1 of Guo [‘Some generalizations of a supercongruence of Van Hamme’, Integral Transforms Spec. Funct.28 (2017), 888–899].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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