On the $k$-measure of partitions and distinct partitions
Combinatorics
2021-05-06 v1 Number Theory
Abstract
The -measure of an integer partition was recently introduced by Andrews, Bhattacharjee and Dastidar. In this paper, we establish trivariate generating function identities counting both the length and the -measure for partitions and distinct partitions, respectively. The -measure case for partitions extends a result of Andrews, Bhattacharjee and Dastidar.
Cite
@article{arxiv.2105.01758,
title = {On the $k$-measure of partitions and distinct partitions},
author = {George E. Andrews and Shane Chern and Zhitai Li},
journal= {arXiv preprint arXiv:2105.01758},
year = {2021}
}