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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In fond memory of Marvin Knopp.
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Boyer, R.P., Parry, D.T. Plane partition polynomial asymptotics. Ramanujan J 37, 573–588 (2015). https://doi.org/10.1007/s11139-014-9573-8
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DOI: https://doi.org/10.1007/s11139-014-9573-8