Some New Congruences for $l$-Regular Partitions Modulo $l$
Number Theory
2019-07-23 v1
Abstract
A partition of is -regular if none of its parts is divisible by . Let denote the number of -regular partitions of . In this paper, using theta function identities due to Ramanujan, we establish some new infinite families of congruences for modulo , where .
Keywords
Cite
@article{arxiv.1907.08848,
title = {Some New Congruences for $l$-Regular Partitions Modulo $l$},
author = {S. Abinash and T. Kathiravan and K. Srilakshmi},
journal= {arXiv preprint arXiv:1907.08848},
year = {2019}
}