Roots of descent polynomials and an algebraic inequality on hook lengths
Combinatorics
2021-09-21 v2
Abstract
We prove a conjecture by Diaz-Lopez et al. that bounds the roots of descent polynomials. To do so, we prove an algebraic inequality, which we refer to as the "Slice and Push Inequality." This inequality compares expressions that come from Naruse's hook-length formula for the number of standard Young tableaux of a skew shape.
Keywords
Cite
@article{arxiv.1910.14631,
title = {Roots of descent polynomials and an algebraic inequality on hook lengths},
author = {Pakawut Jiradilok and Thomas McConville},
journal= {arXiv preprint arXiv:1910.14631},
year = {2021}
}
Comments
24 pages, 8 figures. Comments are very welcome!