English

Inequalities for Plane Partitions

Combinatorics 2021-10-01 v1

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 (Tur\'{a}n inequality) and Bessenrodt--Ono inequality for plane partitions and their polynomization.

Keywords

Cite

@article{arxiv.2109.15145,
  title  = {Inequalities for Plane Partitions},
  author = {Bernhard Heim and Markus Neuhauser and Robert Tröger},
  journal= {arXiv preprint arXiv:2109.15145},
  year   = {2021}
}
R2 v1 2026-06-24T06:31:28.516Z