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arXiv · 1812.04992

Krawtchouk polynomials and quadratic semi-regular sequences

Stavros Kousidis
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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.

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Stavros Kousidis. 2019-04-30. Krawtchouk polynomials and quadratic semi-regular sequences. https://doi.org/10.1145/3326229.3326230

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