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

08 Nov 2007
url
https://doi.org/10.48550/arxiv.0711.1400View
Preprint (Author's original)arXiv.org - Non-exclusive license to distribute Open

Abstract

Mathematics - Combinatorics
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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