Some New Congruences for l-Regular Partitions Modulo 13, 17, and 23Article
Authors: S Abinash 1; T Kathiravan 2; K Srilakshmi 1
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S Abinash;T Kathiravan;K Srilakshmi
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.
Volume: Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019
Published on: May 21, 2020
Accepted on: May 19, 2020
Submitted on: October 10, 2019
Keywords: [MATH]Mathematics [math], [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], [en] theta function identities 2010 Mathematics Subject Classification 11P83, l-regular partitions, congruences, 05A17