Positive Weighted Partitions Generated by Double Series

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.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2025
Hauptverfasser: Andrews, George E., El Bachraoui, Mohamed
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2025
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/213520
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Positive Weighted Partitions Generated by Double Series. George E. Andrews and Mohamed El Bachraoui. SIGMA 21 (2025), 056, 12 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine