Positive Weighted Partitions Generated by Double Series

George E. Andrews; Mohamed El Bachraoui

doi:10.3842/SIGMA.2025.056

Positive Weighted Partitions Generated by Double Series

George E. Andrews
, Mohamed El Bachraoui

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	056
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	21
DOIs	https://doi.org/10.3842/SIGMA.2025.056
Publication status	Published - 2025

Keywords

partitions
positive q-series
q-series

ASJC Scopus subject areas

Analysis
Mathematical Physics
Geometry and Topology

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10.3842/SIGMA.2025.056

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title = "Positive Weighted Partitions Generated by Double Series",

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.",

keywords = "partitions, positive q-series, q-series",

author = "Andrews, \{George E.\} and \{El Bachraoui\}, Mohamed",

year = "2025",

doi = "10.3842/SIGMA.2025.056",

language = "English",

volume = "21",

journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",

issn = "1815-0659",

publisher = "Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine",

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T1 - Positive Weighted Partitions Generated by Double Series

AU - Andrews, George E.

AU - El Bachraoui, Mohamed

PY - 2025

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AB - 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.

KW - partitions

KW - positive q-series

KW - q-series

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UR - https://www.scopus.com/pages/publications/105011514632#tab=citedBy

U2 - 10.3842/SIGMA.2025.056

DO - 10.3842/SIGMA.2025.056

M3 - Article

AN - SCOPUS:105011514632

SN - 1815-0659

VL - 21

JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 056

ER -

Positive Weighted Partitions Generated by Double Series

Abstract

Keywords

ASJC Scopus subject areas

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