On eight colour partitions
Number Theory
2019-06-25 v1
Abstract
In this article, we study the arithmetic properties of the partition function , the number of 8-colour partitions of . We prove several Ramanujan type congruences modulo higher powers of 2 for the function by finding explicit formulas for the generating functions.
Cite
@article{arxiv.1906.09892,
title = {On eight colour partitions},
author = {B. Hemanthkumar and H. S. Sumanth Bharadwaj},
journal= {arXiv preprint arXiv:1906.09892},
year = {2019}
}