Linking Congruences for PED and POD partitions

Fuente: arXiv
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Hauptverfasser: Dockery, Dalen, Jameson, Marie
Format: Preprint
Veröffentlicht: 2025
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author Dockery, Dalen
Jameson, Marie
author_facet Dockery, Dalen
Jameson, Marie
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_22006
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Linking Congruences for PED and POD partitions
Dockery, Dalen
Jameson, Marie
Number Theory
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.
title Linking Congruences for PED and POD partitions
topic Number Theory
url https://arxiv.org/abs/2510.22006