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arXiv · 2503.10890

Positive Weighted Partitions Generated by Double Series

George E. Andrews·Mohamed El Bachraoui
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Abstract

We investigate some weighted integer partitions whose generating functions are double-series. We will establish closed formulas for these $q$-double series and deduce that their coefficients are non-negative. This leads to inequalities among integer partitions.

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George E. Andrews, Mohamed El Bachraoui. 2025-03-13. Positive Weighted Partitions Generated by Double Series. https://doi.org/10.3842/sigma.2025.056

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