Work

Positive Weighted Partitions Generated by Double Series

Year: 2025

Type: article

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.

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2025.056

Authors: George E. Andrews, Mohamed El Bachraoui

Institutions: Pennsylvania State University, United Arab Emirates University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412360502

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