q-Analogues of two "divergent" Ramanujan-type supercongruences

被引：19
|
作者：
Guo, Victor J. W. [1 ]
机构：
[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Jiangsu, Peoples R China
来源：
RAMANUJAN JOURNAL | 2020年 / 52卷 / 03期
关键词：
q-Binomial coefficients; Wilf-Zeilberger method; q-WZ method; q-WZ pair; Cyclotomic polynomials; CONGRUENCES; SUMS;
D O I：
10.1007/s11139-019-00161-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Guillera and Zudilin proved three "divergent" Ramanujan-type supercongruences by means of the Wilf-Zeilberger algorithmic technique. In this paper we proveq-analogues of two of them via theq-WZ method. Additionally, we giveq-analogues of two related congruence of Sun; one is confirmed and the other is conjectural.
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页码：605 / 624
页数：20
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