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arXiv · 1401.2809

On the partial fraction decomposition of the restricted partition generating function

Cormac O'Sullivan
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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.

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Cormac O'Sullivan. 2014-01-13. On the partial fraction decomposition of the restricted partition generating function. https://arxiv.org/abs/1401.2809

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