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Tight bounds for rational sums of squares over totally real fields

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Publication:619610
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DOI10.1007/s12215-010-0029-8zbMath1247.12003OpenAlexW2076411271MaRDI QIDQ619610

Ronan Quarez

Publication date: 25 January 2011

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-010-0029-8


zbMATH Keywords

semidefinite programmingtotally real number fieldrational sum of squares


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (2)

On exact Reznick, Hilbert-Artin and Putinar's representations ⋮ Sums of squares of polynomials with rational coefficients



Cites Work

  • Unnamed Item
  • Sums of Hermitian squares and the BMV conjecture
  • Sums of squares over totally real fields are rational sums of squares
  • Sur la représentation en somme de carrés des polynômes à une indéterminée sur un corps de nombres algébriques
  • Algorithms in real algebraic geometry


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