Proof of a conjecture of Stanley-Zanello

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:125

Article

Alpoge, Levent

关键词: Unimodality;    Partitions;    Circle method;    Young's lattice;   

DOI  :  10.1016/j.jcta.2014.03.004

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free