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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2025 |
| ISSN: | 1815-0659 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2025
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/213520 |
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| 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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862739115390271488 |
|---|---|
| author | Andrews, George E. El Bachraoui, Mohamed |
| author_facet | Andrews, George E. El Bachraoui, Mohamed |
| citation_txt | Positive Weighted Partitions Generated by Double Series. George E. Andrews and Mohamed El Bachraoui. SIGMA 21 (2025), 056, 12 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2026-03-21T18:50:11Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-213520 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T18:50:11Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Andrews, George E. El Bachraoui, Mohamed 2026-02-18T11:23:50Z 2025 Positive Weighted Partitions Generated by Double Series. George E. Andrews and Mohamed El Bachraoui. SIGMA 21 (2025), 056, 12 pages 1815-0659 2020 Mathematics Subject Classification: 11P81; 05A17; 11D09 arXiv:2503.10890 https://nasplib.isofts.kiev.ua/handle/123456789/213520 https://doi.org/10.3842/SIGMA.2025.056 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. First author partially supported by Simons Foundation Grant 633284. The authors are grateful to two anonymous referees for their valuable comments and interesting suggestions, which have improved the presentation and quality of the paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Positive Weighted Partitions Generated by Double Series Article published earlier |
| spellingShingle | Positive Weighted Partitions Generated by Double Series Andrews, George E. El Bachraoui, Mohamed |
| title | Positive Weighted Partitions Generated by Double Series |
| title_full | Positive Weighted Partitions Generated by Double Series |
| title_fullStr | Positive Weighted Partitions Generated by Double Series |
| title_full_unstemmed | Positive Weighted Partitions Generated by Double Series |
| title_short | Positive Weighted Partitions Generated by Double Series |
| title_sort | positive weighted partitions generated by double series |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/213520 |
| work_keys_str_mv | AT andrewsgeorgee positiveweightedpartitionsgeneratedbydoubleseries AT elbachraouimohamed positiveweightedpartitionsgeneratedbydoubleseries |