Parity Considerations for Mex-Related Partition Functions of Andrews and Newman
Number Theory
2024-05-31 v1 Combinatorics
Abstract
In a recent paper, Andrews and Newman extended the mex-function to integer partitions and proved many partition identities connected with these functions. In this paper, we present parity considerations of one of the families of functions they studied, namely . Among our results, we provide complete parity characterizations of and .
Cite
@article{arxiv.2004.02292,
title = {Parity Considerations for Mex-Related Partition Functions of Andrews and Newman},
author = {Robson da Silva and James A. Sellers},
journal= {arXiv preprint arXiv:2004.02292},
year = {2024}
}