Krawtchouk polynomials and quadratic semi-regular sequences
Combinatorics
2020-11-25 v2
Abstract
We derive lower und upper bounds for the degree of regularity of an overdetermined, zero-dimensional and homogeneous quadratic semi-regular system of polynomial equations. The analysis is based on the interpretation of the associated Hilbert series as the truncation of the generating function of values of a certain family of orthogonal polynomials, the Krawtchouk polynomials.
Cite
@article{arxiv.1812.04992,
title = {Krawtchouk polynomials and quadratic semi-regular sequences},
author = {Stavros Kousidis},
journal= {arXiv preprint arXiv:1812.04992},
year = {2020}
}
Comments
9 pages, 5 figures; corrected typos, indices, numerical values; added references and clarifications