{"title":"An identity of Ramanujan and its combinatorics","authors":"Bernard L.S. Lin , Xiaowei Lin , Lei Zhang","doi":"10.1016/j.ejc.2024.103985","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":50490,"journal":{"name":"European Journal of Combinatorics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Combinatorics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0195669824000702","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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.
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