On the partial fraction decomposition of the restricted partition generating function
Number Theory
2014-01-14 v1
Abstract
We provide new formulas for the coefficients in the partial fraction decomposition of the restricted partition generating function. These techniques allow us to partially resolve a recent conjecture of Sills and Zeilberger. We also describe upcoming work, giving a resolution to Rademacher's conjecture on the asymptotics of these coefficients.
Cite
@article{arxiv.1401.2809,
title = {On the partial fraction decomposition of the restricted partition generating function},
author = {Cormac O'Sullivan},
journal= {arXiv preprint arXiv:1401.2809},
year = {2014}
}