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来自沃森 8φ7 转换的 q-supercongruences

IF 1 3区 数学 Q1 MATHEMATICS
Forum Mathematicum Pub Date : 2024-02-20 DOI:10.1515/forum-2023-0409
Xiaoxia Wang, Chang Xu
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引用次数: 0

摘要

利用沃森的ϕ 7 8 {{}_{8}\phi_{7}}变换公式，我们发现了几个参数为 s 的 q 超共轭。特别是，我们的一个结果是对范哈姆 (G.2) 超共轭的 q-analogue 的扩展。此外，我们还得到了一个循环多项式五次幂模的 q 超公差，并提出了两个相关猜想。
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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q-supercongruences from Watson's 8φ7 transformation
Employing Watson’s ϕ 7 8 {{}_{8}\phi_{7}} transformation formula, we unearth several q-supercongruences with a parameter s. Particularly, one of our results is an extension of a q-analogue of Van Hamme’s (G.2) supercongruence. In addition, we obtain a q-supercongruence modulo the fifth power of a cyclotomic polynomial and propose two related conjectures.
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来源期刊
Forum Mathematicum
Forum Mathematicum 数学-数学
CiteScore
1.60
自引率
0.00%
发文量
78
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.
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