A q-SUPERCONGRUENCE ARISING FROM ANDREWS’ IDENTITY

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Australian Mathematical Society Pub Date : 2024-08-29 DOI:10.1017/s0004972724000467

JI-CAI LIU, JING LIU

引用次数: 0

Abstract

We establish a q-analogue of a supercongruence related to a supercongruence of Rodriguez-Villegas, which extends a q-congruence of Guo and Zeng [‘Some q-analogues of supercongruences of Rodriguez-Villegas’, J. Number Theory145 (2014), 301–316]. The important ingredients in the proof include Andrews’

$_4\phi _3$

terminating identity.

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由安德鲁斯的身份产生的 q 级超不确定性

我们建立了一个与罗德里格斯-维耶加斯的超等公差相关的 q-analogue ，它扩展了郭和曾的 q-ongruence ['罗德里格斯-维耶加斯的超等公差的一些 q-analogue', J. Number Theory145 (2014), 301-316] 。证明中的重要成分包括安德鲁斯的$_4\phi _3$终止身份。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the Australian Mathematical Society 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

149

审稿时长

4-8 weeks

期刊介绍： Bulletin of the Australian Mathematical Society aims at quick publication of original research in all branches of mathematics. Papers are accepted only after peer review but editorial decisions on acceptance or otherwise are taken quickly, normally within a month of receipt of the paper. The Bulletin concentrates on presenting new and interesting results in a clear and attractive way. Published Bi-monthly Published for the Australian Mathematical Society