Linking Congruences for PED and POD partitions
Number Theory
2025-10-28 v1
Abstract
Recent work of Garvan, Sellers, Smoot, and others has made connections between infinite families of congruences for various partition functions. Here, we apply this approach to families of congruences for PED and POD partitions and find that they are naturally linked to congruence families for overpartitions into odd parts and overpartitions.
Keywords
Cite
@article{arxiv.2510.22006,
title = {Linking Congruences for PED and POD partitions},
author = {Dalen Dockery and Marie Jameson},
journal= {arXiv preprint arXiv:2510.22006},
year = {2025}
}
Comments
12 pages, comments welcome