Some New Congruences for l-Regular Partitions Modulo l

2019/07/20 by Sarma Abinash, Abinash, S., T. Kathiravan +3
Mathematics · #Advanced Mathematical Identities #Advanced Mathematical Theories #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1907.08848

openalex publication_date 2019/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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=13,17,23.

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