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 $q$-double series and deduce that their coefficients are non-negative. This leads to inequalities among integer partitions.
Authors
- George E. Andrews (ORCID: https://orcid.org/0000-0002-8909-823X)
- Mohamed El Bachraoui (ORCID: https://orcid.org/0000-0001-9074-4393)
Publication Details
- Journal
- Symmetry Integrability and Geometry Methods and Applications
- Published
- 2025-07-12
- DOI
- https://doi.org/10.3842/sigma.2025.056
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00