Some q-supercongruences from a q-analogue of Watson's 3 F 2 summation

IF 1 3区数学 Q1 MATHEMATICS

Forum Mathematicum Pub Date : 2024-03-25 DOI:10.1515/forum-2023-0475

Victor J. W. Guo

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引用次数: 0

Abstract

We give some q-supercongruences from a q-analogue of Watson’s F 2 3

{{}_{3}F_{2}}

summation and the method of “creative microscoping”, introduced by the author and Zudilin. These q-supercongruences may be considered as further generalizations of the (A.2) supercongruence of Van Hamme modulo p 3

{p^{3}}

or p 2

{p^{2}}

for any odd prime p. Meanwhile, we confirm a supercongruence conjecture of Wang and Yue through establishing its q-analogue.

查看原文本刊更多论文

从沃森 3 F 2 求和的 q 类比中得出的一些 q-supercongruences

我们从沃森的 F 2 3 {{}_{3}F_{2}} 求和的 q-analogue 以及作者和祖迪林提出的 "创造性微观 "方法中给出了一些 q-supercongruences 。这些 q 超共形可以看作是凡-哈姆（Van Hamme）对任意奇素数 p 的 p 3 {p^{3}} 或 p 2 {p^{2}} 模的 (A.2) 超共形的进一步推广。

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

Forum Mathematicum 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Forum Mathematicum is a general mathematics journal, which is devoted to the publication of research articles in all fields of pure and applied mathematics, including mathematical physics. Forum Mathematicum belongs to the top 50 journals in pure and applied mathematics, as measured by citation impact.