A q-analogue of a Ramanujan-type supercongruence involving central binomial coefficients

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:458

Article

Guo, Victor J. W.¹ 

[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Jiangsu, Peoples R China

关键词: q-binomial coefficients;    Wilf-Zeilberger method;    q-WZ pair;    Cyclotomic polynomials;    q-Chu-Vandermonde summation;   

DOI  :  10.1016/j.jmaa.2017.09.022

来源: Elsevier

【 摘 要 】

Motivated by Zudilin's work, we give a q-analogue of a Ramanujan-type supercongruence of van Hamme and Mortenson via the q-WZ method. Meanwhile, we give a q-analogue of a related congruence of Sun in the same way. We also propose several related conjectures on congruences involving central q-binomial coefficients. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free