{"docId":6495,"paperId":5827,"url":"https:\/\/hrj.episciences.org\/5827","doi":"10.46298\/hrj.2020.5827","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[{"vid":404,"name":"Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-02301897","repositoryVersion":2,"repositoryLink":"https:\/\/hal.science\/hal-02301897v2","dateSubmitted":"2019-10-10 18:16:49","dateAccepted":"2020-05-21 10:37:29","datePublished":"2020-05-21 10:39:02","titles":{"en":"Some New Congruences for l-Regular Partitions Modulo 13, 17, and 23"},"authors":["Abinash, S","Kathiravan, T","Srilakshmi, K"],"abstracts":{"en":"A partition of n is l-regular if none of its parts is divisible by l. Let b l (n) denote the number of l-regular partitions of n. In this paper, using theta function identities due to Ramanujan, we establish some new infinite families of congruences for b l (n) modulo l, where l = 17, 23, and for b 65 (n) modulo 13."},"keywords":[["05A17"],["congruences"],["l-regular partitions"],["theta function identities 2010 Mathematics Subject Classification 11P83"],"[MATH]Mathematics [math]","[MATH.MATH-NT]Mathematics [math]\/Number Theory [math.NT]"]}