Positive Weighted Partitions Generated by Double Series
Number Theory
2025-07-15 v3 Combinatorics
Abstract
We investigate some weighted integer partitions whose generating functions are double-series. We will establish closed formulas for these -double series and deduce that their coefficients are non-negative. This leads to inequalities among integer partitions.
Cite
@article{arxiv.2503.10890,
title = {Positive Weighted Partitions Generated by Double Series},
author = {George E. Andrews and Mohamed El Bachraoui},
journal= {arXiv preprint arXiv:2503.10890},
year = {2025}
}