Plane Partition Polynomial Asymptotics
Number Theory
2014-01-10 v1
Abstract
The plane partition polynomial is the polynomial of degree whose coefficients count the number of plane partitions of indexed by their trace. Extending classical work of E.M. Wright, we develop the asymptotics of these polynomials inside the unit disk using the circle method.
Cite
@article{arxiv.1401.1893,
title = {Plane Partition Polynomial Asymptotics},
author = {Robert Boyer and Daniel Parry},
journal= {arXiv preprint arXiv:1401.1893},
year = {2014}
}