{"title":"Certain Diophantine equations and new parity results for 21-regular partitions","authors":"Ajit Singh, Gurinder Singh, Rupam Barman","doi":"10.4064/aa230203-5-7","DOIUrl":null,"url":null,"abstract":"For a positive integer $t\\geq 2$, let $b_{t}(n)$ denote the number of $t$-regular partitions of a non-negative integer $n$. In a recent paper, Keith and Zanello (2022) investigated the parity of $b_{t}(n)$ when $t\\leq 28$. They discovered new infinite fam","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"242 1","pages":"0"},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Arithmetica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/aa230203-5-7","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
For a positive integer $t\geq 2$, let $b_{t}(n)$ denote the number of $t$-regular partitions of a non-negative integer $n$. In a recent paper, Keith and Zanello (2022) investigated the parity of $b_{t}(n)$ when $t\leq 28$. They discovered new infinite fam
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