On certain weighted 7-colored partitions
Combinatorics
2017-11-29 v3 Number Theory
Abstract
Inspired by Andrews' 2-colored generalized Frobenius partitions, we consider certain weighted 7-colored partition functions and establish some interesting Ramanujan-type identities and congruences. Moreover, we provide combinatorial interpretations of some congruences modulo 5 and 7. Finally, we study the properties of weighted 7-colored partitions weighted by the parity of certain partition statistics.
Cite
@article{arxiv.1706.08223,
title = {On certain weighted 7-colored partitions},
author = {Shane Chern and Dazhao Tang},
journal= {arXiv preprint arXiv:1706.08223},
year = {2017}
}
Comments
15pages,1table