تقرير
Analogues of Alder-Type Partition Inequalities for Fixed Perimeter Partitions
| العنوان: | Analogues of Alder-Type Partition Inequalities for Fixed Perimeter Partitions |
|---|---|
| المؤلفون: | Chen, Ling, Hernandez, Isabelle, Shields, Zain, Swisher, Holly |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - Combinatorics |
| الوصف: | In a 2016 paper, Straub proved an analogue to Euler's partition identity for partitions with fixed perimeter. Later, Fu and Tang provided a refinement and generalization of Straub's analogue to $d$-distinct partitions as well as a result related to the first Rogers-Ramanujan identity. Motivated by Alder-type partition identities and their generalizations, we build on work of Fu and Tang to establish generalized Alder-type partition inequalities in a fixed perimeter setting, and notably, a reverse Alder-type inequality. Comment: 13 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.07655 |
| رقم الأكسشن: | edsarx.2406.07655 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |