Positive Weighted Partitions Generated by Double Series
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909685599174656 |
|---|---|
| author | Andrews, George E. Bachraoui, Mohamed El |
| author_facet | Andrews, George E. Bachraoui, Mohamed El |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10890 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Positive Weighted Partitions Generated by Double Series Andrews, George E. Bachraoui, Mohamed El Number Theory Combinatorics 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. |
| title | Positive Weighted Partitions Generated by Double Series |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2503.10890 |