Sums of even powers of \(k\)-regulous functions

DOI10.1016/j.indag.2022.12.004OpenAlexW4311801965MaRDI QIDQ2698295

Tomasz Kowalczyk, Juliusz Banecki

Publication date: 21 April 2023

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08584

zbMATH Keywords

Pythagoras numbersums of even powers\(k\)-regulous function

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Semialgebraic sets and related spaces (14P10)

Related Items (1)

Sums of squares on hypersurfaces

Cites Work

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• Regulous functions
• Continuous functions on the plane regular after one blowing-up
• Semidefinite programming for min-max problems and games
• Sums of fourth powers of real algebraic functions
• Maximal ideals of regulous functions are not finitely generated
• Level and Pythagoras number of some geometric rings
• Uniform denominators in Hilbert's seventeenth problem
• Sums of \(2m\)-th powers of rational functions in one variable over real closed fields
• Lower bounds for Pythagoras numbers of function fields
• Continuous rational functions on real and \(p\)-adic varieties
• On sums of squares and on elliptic curves over function fields
• The Pythagoras number of some affine algebras and local algebras.
• Sums of even powers of real linear forms
• Nash regulous functions
• Sums of squares in real rings

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