The analogue of Hilbert's 1888 theorem for even symmetric forms

DOI10.1016/j.jpaa.2016.10.003zbMath1367.11046arXiv1509.07482OpenAlexW2210328024MaRDI QIDQ503810

Bruce Reznick, Salma Kuhlmann, Charu Goel

Publication date: 23 January 2017

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

Full work available at URL: https://arxiv.org/abs/1509.07482

zbMATH Keywords

sum of squaressymmetric formreal formeven formpositive semidefinite form

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Sums of squares and representations by other particular quadratic forms (11E25) Forms of degree higher than two (11E76) Semialgebraic sets and related spaces (14P10)

Related Items (4)

Symmetric non-negative forms and sums of squares ⋮ Reflection groups and cones of sums of squares ⋮ An SOS counterexample to an inequality of symmetric functions ⋮ Symmetry Adapted Gram Spectrahedra

Cites Work

• Unnamed Item
• Even symmetric sextics
• Real even symmetric ternary forms
• Minkowski's inequality and sums of squares
• Sums of squares of regular functions on real algebraic varieties
• On the Choi-Lam analogue of Hilbert's 1888 theorem for symmetric forms

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