2021/09/30 by Bernhard Heim, Markus Neuhäuser, Heim, Bernhard +3
Mathematics · #Analytic Number Theory Research #Mathematics and Applications #Advanced Mathematical Identities
paper · pdf · doi:10.48550/arxiv.2109.15145
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.