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arXiv · 1401.1893

Plane Partition Polynomial Asymptotics

Robert Boyer·Daniel Parry
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Abstract

The plane partition polynomial $Q_n(x)$ is the polynomial of degree $n$ whose coefficients count the number of plane partitions of $n$ 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.

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Robert Boyer, Daniel Parry. 2014-01-09. Plane Partition Polynomial Asymptotics. https://arxiv.org/abs/1401.1893

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