Congruences on the Number of Restricted $m$-ary Partitions
Combinatorics
2015-12-18 v1 Number Theory
Abstract
Andrews, Brietzke, R\o dseth and Sellers proved an infinite family of congruences on the number of the restricted -ary partitions when is a prime. In this note, we show that these congruences hold for arbitrary positive integer and thus confirm the conjecture of Andrews, et al.
Keywords
Cite
@article{arxiv.1512.05601,
title = {Congruences on the Number of Restricted $m$-ary Partitions},
author = {Qing-Hu Hou and Hai-Tao Jin and Yan-Ping Mu and Li Zhang},
journal= {arXiv preprint arXiv:1512.05601},
year = {2015}
}
Comments
6 pages