An effective version of Pólya's theorem on positive definite forms

DOI10.1016/0022-4049(95)00042-9zbMath0859.11029OpenAlexW2085112957MaRDI QIDQ1917390

Francisco Santos, Jesús A. De Loera

Publication date: 9 April 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00042-9

zbMATH Keywords

sums of squareshomogeneous polynomialHilbert's 17th problemordered fieldpositive definite polynomialsPólya's theorem on positive definite formsupper bound for the Pólya exponent

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ordered fields (12J15) Forms over real fields (11E10)

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Cites Work

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• Effective Łojasiewicz inequalities in semialgebraic geometry
• Uniform denominators in Hilbert's seventeenth problem