Continuous Pythagoras numbers for rational quadratic forms

DOI10.1016/0022-314X(87)90083-7zbMath0626.10019MaRDI QIDQ580403

Charles N. Delzell

Publication date: 1987

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

commutative ringsum of squaresPythagoras numbersrational quadratic forms

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Topological rings and modules (13J99) General binary quadratic forms (11E16) Real and complex fields (12D99)

Related Items (1)

Impossibility of \(C^{\infty}\) variation or formal power series variation in solutions to Hilbert's 17th problem

Cites Work

• A continuous, constructive solution to Hilbert's \(17^{th}\) problem
• On sums of squares and on elliptic curves over function fields
• A Hasse principle for two dimensional global fields.
• Analytic Right-Inverses to Quadratic Forms over Number Fields
• The Pythagoras number of some affine algebras and local algebras.
• On the Representation of a Rational as a Sum of Four Squares By Means of Regular Functions

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