Finite versions of the Andrews–Gordon identity and Bressoud's identity

IF 0.9 2区数学 Q2 MATHEMATICS

Journal of Combinatorial Theory Series A Pub Date : 2025-03-18 DOI:10.1016/j.jcta.2025.106035

Heng Huat Chan , Song Heng Chan

引用次数: 0

Abstract

In this article, we discuss finite versions of Euler's pentagonal number identity, the Rogers-Ramanujan identities and present new proofs of the finite versions of the Andrews-Gordon identity and the Bressoud identity. We also investigate the finite version of Garvan's generalizations of Dyson's rank and discover a new one-variable extension of the Andrews-Gordon identity.

查看原文本刊更多论文

在这篇文章中，我们讨论了欧拉五边形数特性的有限版本、罗杰斯-拉玛努扬特性，并提出了安德鲁斯-戈登特性和布里苏德特性有限版本的新证明。我们还研究了加尔文对戴森秩的泛化的有限版本，并发现了安德鲁斯-戈登同一性的一个新的单变量扩展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Combinatorial Theory Series A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.