On the partial fraction decomposition of the restricted partition generating function

Published 13 Jan 2014 in math.NT | (1401.2809v1)

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

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