New identities for the polarized partitions and partitions with $d$-distant parts
Combinatorics
2013-10-29 v1
Abstract
In this paper we present a new class of integer partition identities. The number of partitions with d-distant parts can be represented as a sum of the number of partitions with 1-distant parts whose even parts are greater than twice the number of odd parts. We also provide a direct bijection between these classes of partitions.
Keywords
Cite
@article{arxiv.1310.7480,
title = {New identities for the polarized partitions and partitions with $d$-distant parts},
author = {Ivica Martinjak and Dragutin Svrtan},
journal= {arXiv preprint arXiv:1310.7480},
year = {2013}
}