Log-concavity of the overpartition function
Number Theory
2014-12-23 v2
Abstract
We prove that the overpartition function is log-concave for all n>1. The proof is based on Sills Rademacher type series for the overpartition function and inspired by Desalvo and Pak's proof for the partition function.
Cite
@article{arxiv.1412.4603,
title = {Log-concavity of the overpartition function},
author = {Benjamin Engel},
journal= {arXiv preprint arXiv:1412.4603},
year = {2014}
}
Comments
9 pages