郭和施洛瑟的两个 q 超矛盾的一般化

IF 1.1 3区数学 Q1 MATHEMATICS

Results in Mathematics Pub Date : 2024-07-23 DOI:10.1007/s00025-024-02237-w

Caihuan Zhang

引用次数: 0

摘要

最近，郭和施洛瑟（Results Math 78:105，2023）给出了两个有趣的q-上共轭。借助郭和祖迪林引入的创造性微观方法以及杰克逊的（_{6}\phi _{5}\）求和公式，我们在本文中建立了它们的单参数广义。

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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Generalizations of Guo and Schlosser’s Two q-Supercongruences

Recently, Guo and Schlosser (Results Math 78:105, 2023) gave two interesting q-supercongruences. With the help of the creative microscoping method introduced by Guo and Zudilin, and Jackson’s \(_{6}\phi _{5}\) summation formula, we establish one-parameter generalizations of them in this paper.

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来源期刊

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.