Back to Search
Start Over
Analogues of Alder-Type Partition Inequalities for Fixed Perimeter Partitions
- Publication Year :
- 2024
-
Abstract
- 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.<br />Comment: 13 pages
- Subjects :
- Mathematics - Number Theory
Mathematics - Combinatorics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2406.07655
- Document Type :
- Working Paper