{"title":"21正则分区的某些Diophantine方程和新的宇称结果","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":"{\"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}","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}
Certain Diophantine equations and new parity results for 21-regular partitions
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