English

New congruences for partitions where the even parts are distinct

Number Theory 2024-10-08 v2

Abstract

We denote the number of partitions of nn wherein the even parts are distinct (and the odd parts are unrestricted) by ped(n)ped(n). In this paper, we will use generating function manipulations to obtain new congruences for ped(n)ped(n) modulo 2424.

Keywords

Cite

@article{arxiv.2403.16735,
  title  = {New congruences for partitions where the even parts are distinct},
  author = {Hemjyoti Nath},
  journal= {arXiv preprint arXiv:2403.16735},
  year   = {2024}
}

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5 pages