Polynomials associated with Partitions: Polynomials associated with Partitions: Their Asymptotics and Zeros

Abstract

Let $p_n$ be the number of partitions of an integer $n$. For each of the partition statistics of counting their parts, ranks, or cranks, there is a natural family of integer polynomials. We investigate their asymptotics and the limiting behavior of their zeros as sets and densities.

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