Note
A Simple Proof of a Conjecture of Simion

https://doi.org/10.1006/jcta.2002.3300Get rights and content
Under an Elsevier user license
open archive

Abstract

Simion had a unimodality conjecture concerning the number of lattice paths in a rectangular grid with the Ferrers diagram of a partition removed. Hildebrand recently showed the stronger result that these numbers are log concave. Here we present a simple proof of Hildebrand's result.

Keywords

partitions
log concavity
lattice paths
ferrers diagram.

Cited by (0)