Congruences for the $k$ dots bracelet partition functions
Number Theory
2013-03-21 v1 Combinatorics
Abstract
By finding the congruent relations between the generating function of the 5 dots bracelet partitions and that of the 5-regular partitions, we get some new congruences modulo 2 for the 5 dots bracelet partition function. Moreover, for a given prime , we study the arithmetic properties modulo of the dots bracelet partitions.
Keywords
Cite
@article{arxiv.1303.4826,
title = {Congruences for the $k$ dots bracelet partition functions},
author = {Suping Cui and Nancy S. S. Gu},
journal= {arXiv preprint arXiv:1303.4826},
year = {2013}
}
Comments
10 pages