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

被引：52
作者：
Guo, Victor J. W. [1 ]
机构：
[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 458卷 / 01期
基金：
中国国家自然科学基金;
关键词：
q-binomial coefficients; Wilf-Zeilberger method; q-WZ pair; Cyclotomic polynomials; q-Chu-Vandermonde summation; HYPERGEOMETRIC-SERIES; RODRIGUEZ-VILLEGAS; VAN-HAMME; WZ-METHOD; CONGRUENCES; CONJECTURES; NUMBERS; SUMS;
D O I：
10.1016/j.jmaa.2017.09.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：590 / 600
页数：11
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