Polynomials associated with Partitions: Polynomials associated with Partitions: Their Asymptotics and Zeros
Combinatorics
2007-11-12 v1
Abstract
Let be the number of partitions of an integer . 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.
Cite
@article{arxiv.0711.1400,
title = {Polynomials associated with Partitions: Polynomials associated with Partitions: Their Asymptotics and Zeros},
author = {Robert P. Boyer and William M. Y. Goh},
journal= {arXiv preprint arXiv:0711.1400},
year = {2007}
}
Comments
4 figures