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arXiv · 2109.15145

Inequalities for Plane Partitions

Bernhard Heim·Markus Neuhauser·Robert Tröger
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Abstract

Inequalities are important features in the context of sequences of numbers and polynomials. The Bessenrodt--Ono inequality for partition numbers and Nekrasov--Okounkov polynomials has only recently been discovered. In this paper we study the log-concavity (Turán inequality) and Bessenrodt--Ono inequality for plane partitions and their polynomization.

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Bernhard Heim, Markus Neuhauser, Robert Tröger. 2021-09-30. Inequalities for Plane Partitions. https://arxiv.org/abs/2109.15145

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