Inequalities for Plane Partitions
Bernhard Heim, Markus Neuhauser, Robert Tröger
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.
Topics & Concepts
MathematicsPartition (number theory)InequalityCombinatoricsPlane (geometry)Context (archaeology)GeometryMathematical analysisBiologyPaleontologyAdvanced Combinatorial MathematicsAdvanced Mathematical IdentitiesAnalytic Number Theory Research