Signature pairs of positive polynomials

zbMath1306.12001arXiv1211.0997MaRDI QIDQ5747066

Jennifer Halfpap, Jiří Lebl

Publication date: 11 February 2014

Full work available at URL: https://arxiv.org/abs/1211.0997

zbMATH Keywords

Hilbert's 17th problemHermitian symmetric polynomialsHermitian sums of squarespositivity classes

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Semialgebraic sets and related spaces (14P10) Quadratic and bilinear forms, inner products (15A63) Holomorphic functions of several complex variables (32A99)

Related Items (5)

Characterization of polynomials whose large powers have fully positive coefficients ⋮ Algebraic properties of Hermitian sums of squares, II ⋮ Characterization of polynomials whose large powers have all positive coefficients ⋮ Sum of squares conjecture: the monomial case in \(\mathbb{C}^3\) ⋮ An application of Macaulay’s estimate to sums of squares problems in several complex variables

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