Using Periodicity to Obtain Partition Congruences
Number Theory
2017-04-14 v4
Abstract
In this paper, we generalize recent work of Mizuhara, Sellers, and Swisher that gives a method for establishing restricted plane partition congruences based on a bounded number of calculations. Using periodicity for partition functions, our extended technique could be a useful tool to prove congruences for certain types of combinatorial functions based on a bounded number of calculations. As applications of our result, we establish new and existing restricted plane partition congruences, restricted plane overpartition congruences and several examples of restricted partition congruences.
Cite
@article{arxiv.1609.03633,
title = {Using Periodicity to Obtain Partition Congruences},
author = {Ali H. Al-Saedi},
journal= {arXiv preprint arXiv:1609.03633},
year = {2017}
}