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Some inequalities for $k$-colored partition functions
- Publication Year :
- 2017
-
Abstract
- Motivated by a partition inequality of Bessenrodt and Ono, we obtain analogous inequalities for $k$-colored partition functions $p_{-k}(n)$ for all $k\geq2$. This enables us to extend the $k$-colored partition function multiplicatively to a function on $k$-colored partitions, and characterize when it has a unique maximum. We conclude with one conjectural inequality that strengthens our results.<br />Comment: 11 pages, 1 table
- Subjects :
- Mathematics - Combinatorics
05A17, 11P83
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1709.06735
- Document Type :
- Working Paper