Positive Weighted Partitions Generated by Double Series

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• ISSN: 1815-0659
• Main Authors: Andrews, George E., El Bachraoui, Mohamed
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213520
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Positive Weighted Partitions Generated by Double Series. George E. Andrews and Mohamed El Bachraoui. SIGMA 21 (2025), 056, 12 pages

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.