A New Bound for the Waring Rank of Monomials

DOI10.1137/21M1390736zbMath1495.14093arXiv2101.02911WikidataQ114074104 ScholiaQ114074104MaRDI QIDQ5097688

Kangjin Han, Hyunsuk Moon

Publication date: 31 August 2022

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.02911

zbMATH Keywords

monomialWaring decompositionrational Waring rankreal hyperbolic polynomialreal Waring rank

Mathematics Subject Classification ID

Polynomials in real and complex fields: factorization (12D05) Real algebraic and real-analytic geometry (14P99)

Related Items (1)

Generalizations of the Schrödinger maximal operator: building arithmetic counterexamples

Uses Software

• Macaulay2

Cites Work

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• Real rank with respect to varieties
• Waring decompositions of monomials
• Computing symmetric rank for symmetric tensors
• Computing combinatorial decompositions of rings
• The solution to the Waring problem for monomials and the sum of coprime monomials
• On the real rank of monomials
• On maximum, typical and generic ranks
• Monomials as sums of powers: The real binary case
• Subresultants and Reduced Polynomial Remainder Sequences

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