Congruences and recursions for the cubic partition
Number Theory
2017-02-14 v2 Combinatorics
Abstract
Let denote the number of cubic partitions. In this paper, we shall present two new congruences modulo for . We also provide an elementary alternative proof of a congruence established by Chan. Furthermore, we will establish a recursion for , which is a special case of a broader class of recursions.
Cite
@article{arxiv.1601.06480,
title = {Congruences and recursions for the cubic partition},
author = {Shane Chern and Manosij Ghosh Dastidar},
journal= {arXiv preprint arXiv:1601.06480},
year = {2017}
}