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

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

2007-11-09

arxiv.org/abs/0711.1400v1

Mathematics

Combinatorics

4 figures

Scientific paper

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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