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1. On the partial fraction decomposition of the restricted partition generating function.

Author

O'Sullivan, Cormac

Subjects
*PARTIAL fractions, *MATHEMATICAL decomposition, *MATHEMATICAL formulas, *COEFFICIENTS (Statistics), *MATHEMATICAL functions, *MATHEMATICAL analysis
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. [ABSTRACT FROM AUTHOR]

Published
2015
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