Sur la représentation en somme de carrés des polynômes à une indéterminée sur un corps de nombres algébriques
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Publication:5655428
DOI10.4064/aa-19-1-89-104zbMath0244.10019OpenAlexW2138435885MaRDI QIDQ5655428
Publication date: 1971
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/205020
Related Items (18)
Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients ⋮ Computing sum of squares decompositions with rational coefficients ⋮ The Diophantine Problem for Polynomial Rings and Fields of Rational Functions ⋮ On existential definitions of c.e. subsets of rings of functions of characteristic 0 ⋮ Tight bounds for rational sums of squares over totally real fields ⋮ Factorization and root-finding for polynomials over division quaternion algebras ⋮ Pourchet’s theorem in action: decomposing univariate nonnegative polynomials as sums of five squares ⋮ Sums of values represented by a quadratic form ⋮ Sums of squares on hypersurfaces ⋮ Bounding the Pythagoras number of a field by \(2^n +1\) ⋮ Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials ⋮ 17ème problème de Hilbert ⋮ Higher product levels of domains ⋮ Quadratic Forms ⋮ Sums of squares over totally real fields are rational sums of squares ⋮ Representation of positive semidefinite elements as sum of squares in 2-dimensional local rings ⋮ On the complexity of the real Nullstellensatz in the 0-dimensional case ⋮ An algorithm for decomposing a non-negative polynomial as a sum of squares of rational functions
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