Proof of a conjecture of Stanley-Zanello
Combinatorics
2014-03-05 v2 Number Theory
Abstract
We prove that the number of partitions of an integer into at most b distinct parts of size at most n forms a unimodal sequence for n sufficiently large with respect to b. This resolves a recent conjecture of Stanley and Zanello.
Keywords
Cite
@article{arxiv.1308.2358,
title = {Proof of a conjecture of Stanley-Zanello},
author = {Levent Alpoge},
journal= {arXiv preprint arXiv:1308.2358},
year = {2014}
}
Comments
7 pages. To appear in Journal of Combinatorial Theory, Series A