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math.CO2021
Inequalities for Plane Partitions
Bernhard Heim, Markus Neuhauser, Robert Tröger
Inequalities are important features in the context of sequences of numbers and polynomials. The Bessenrodt--Ono inequality for partition numbers and Nekrasov--Okounkov polynomials…
math.CO2019
Polynomization of the Bessenrodt-Ono inequality
Bernhard Heim, Markus Neuhauser, Robert Tröger
In this paper we investigate the generalization of the Bessenrodt--Ono inequality by following Gian-Carlo Rota's advice in studying problems in combinatorics and number theory in t…