An identity of Ramanujan and its combinatorics

IF 1 3区数学 Q1 MATHEMATICS

European Journal of Combinatorics Pub Date : 2024-05-09 DOI:10.1016/j.ejc.2024.103985

Bernard L.S. Lin , Xiaowei Lin , Lei Zhang

引用次数: 0

Abstract

In this paper, we explore the combinatorics behind an identity recorded in Ramanujan’s lost notebook. We present an interesting result, which not only generalizes two theorems of Bressoud, but also implies a bivariate form of Ramanujan’s original identity.

查看原文本刊更多论文

拉玛努扬的一个特性及其组合学

在本文中，我们探讨了拉马努扬遗失的笔记本中记录的一个特征背后的组合学。我们提出了一个有趣的结果，它不仅概括了布雷索德的两个定理，还暗示了拉马努扬原始特性的二元形式。

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

European Journal of Combinatorics 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. The journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics and the theories of computing. The journal includes full-length research papers on important topics.