Supercongruences arising from a 7 F 6 hypergeometric transformation formula

IF 1 3区数学 Q1 MATHEMATICS

Forum Mathematicum Pub Date : 2024-01-10 DOI:10.1515/forum-2023-0239

Chen Wang

引用次数: 0

Abstract

Using a F 6 7

{{}_{7}F_{6}}

hypergeometric transformation formula, we prove two supercongruences. In particular, one of these supercongruences confirms a recent conjecture of Guo, Liu and Schlosser, and gives an extension of a supercongruence of Long and Ramakrishna.

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7 F 6 超几何变换公式产生的超级共轭关系

利用 F 6 7 {{}_{7}F_{6}} 超几何变换公式，我们证明了两个超级共轭。其中一个超共轭证实了郭，刘和施洛瑟最近的猜想，并给出了龙和拉马克里希纳的超共轭的扩展。

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.