Inequalities for Plane Partitions

Annals of Combinatorics, vol. 27, pp. 87–108

Abstract

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.

Authors 3

1. Bernhard E. Heim corresponding Aachen Lehrstuhl A für Mathematik

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl A für Mathematik, RWTH Aachen University, 52056, Aachen, Germany

2. Markus Neuhauser Aachen Lehrstuhl A für Mathematik

   RWTH Aachen University · Kutaisi International University

   Affiliation as printed

   Kutaisi International University, 5/7, Youth Avenue, 4600, Kutaisi, Georgia

   Lehrstuhl A für Mathematik, RWTH Aachen University, 52056, Aachen, Germany

3. Robert Tröger Aachen Lehrstuhl A für Mathematik

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl A für Mathematik, RWTH Aachen University, 52056, Aachen, Germany