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On the partial fraction decomposition of the restricted partition generating function

  • Cormac O'Sullivan EMAIL logo
Published/Copyright: December 20, 2012

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.

MSC: 11P82; 11B68

Funding source: The Professional Staff Congress and The City University of New York

Award Identifier / Grant number: PSC-CUNY Award

Received: 2012-5-26
Revised: 2012-9-2
Published Online: 2012-12-20
Published in Print: 2015-3-1

© 2015 by De Gruyter

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