Maximal multiplicative properties of partitions
Combinatorics
2014-04-08 v2 Number Theory
Abstract
Extending the partition function multiplicatively to a function on partitions, we show that it has a unique maximum at an explicitly given partition for any . The basis for this is an inequality for the partition function which seems not to have been noticed before.
Cite
@article{arxiv.1403.3352,
title = {Maximal multiplicative properties of partitions},
author = {Christine Bessenrodt and Ken Ono},
journal= {arXiv preprint arXiv:1403.3352},
year = {2014}
}
Comments
5 pages; in replacement: one typo in References corrected. To appear in: Annals of Combinatorics