Estimates of the Pythagoras number of \(\mathbb R_m[x_1, \ldots , x_n]\) through lattice points and polytopes

DOI10.1016/j.disc.2007.10.045zbMath1213.11061OpenAlexW1976173872MaRDI QIDQ998459

David B. Leep, Colin L. Starr

Publication date: 28 January 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.10.045

zbMATH Keywords

polytopeslattice pointsPythagoras numbercagesum of squares

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Other combinatorial number theory (11B75) Polynomials in number theory (11C08) Lattices and convex bodies (number-theoretic aspects) (11H06)

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Sum of squares length of real forms ⋮ On the Real Zeros of Positive Semidefinite Biquadratic Forms

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• Lectures on Polytopes