Binary forms with three different relative ranks

DOI10.1090/proc/13666zbMath1400.11093arXiv1608.08560OpenAlexW2964331361MaRDI QIDQ4592742

Neriman Tokcan, Bruce Reznick

Publication date: 8 November 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08560

zbMATH Keywords

binary formssums of powersreal rankcomplex rankSylvester formStufe

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Waring's problem and variants (11P05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Enumerative problems (combinatorial problems) in algebraic geometry (14N10)

Related Items (4)

The Waring rank of binary binomial forms ⋮ A nearly optimal algorithm to decompose binary forms ⋮ On the Waring rank of binary forms ⋮ Reconstruction algorithms for sums of affine powers

Cites Work

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• Monomials as sums of powers: The real binary case
• Note on a paper by T. Nagell
• On the Length of Binary Forms
• Sur la résolubilité de l'équation $x^2 + y^2 + z^2 = 0$ dans un corps quadratique

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