Plane Partition Polynomial Asymptotics

2014/01/09 by Robert P. Boyer, Boyer, Robert, Daniel Parry +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1401.1893

openalex publication_date 2014/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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