On the -measure of partitions and distinct partitions
arXiv:2105.01758
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.