A continuous, constructive solution to Hilbert's 17th problem.
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A note on the pp conjecture for sheaves of spaces of orderings
Paweł Gładki (2016)
Communications in Mathematics
In this note we provide a direct and simple proof of a result previously obtained by Astier stating that the class of spaces of orderings for which the pp conjecture holds true is closed under sheaves over Boolean spaces.
Bilinear forms for SL(2,q), An and similar groups.
Alexandre Turull (1992)
Publicacions Matemàtiques
The set of invariant symmetric bilinear forms on irreducible modules over fields of characteristic zero for certain groups is studied. Results are obtained under the presence in a finite group of elements of order four whose square is central. In particular, we find that the relevant modules for the groups mentioned in the title always accept an invariant symmetric bilinear form under which the module admits an orthonormal basis.
Binäre Formen und Primideale.
Friedrich Ischebeck (1981)
Manuscripta mathematica
Class numbers of binary quadratic forms over algebraic number fields.
Jih-Min Shyr (1979)
Journal für die reine und angewandte Mathematik
Constructing Quasi-Pythagorean Fields
K. Koziol (1992)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Corrigendum to the paper "Hermitian forms over division algebras over real function fields".
Nguyen Quoc Thang (1994)
Manuscripta mathematica
Darstellungen mit Nebenbedingungen durch quadratische Formen.
Michael Kassner (1982)
Journal für die reine und angewandte Mathematik
Definite Lattices Over Real Algebraic Function Domains.
H.-G. Quebbemann (1985)
Mathematische Annalen
Dimensions of anisotropic indefinite quadratic forms. I.
Hoffmann, Detlev W. (2001)
Documenta Mathematica
Dimensions of anisotropic indefinite quadratic forms. II.
Hoffmann, Detlev W. (2010)
Documenta Mathematica
Eine Bemerkung zu den höheren Pythagoraszahlen reeller Körper.
Joachim Schmid (1988)
Manuscripta mathematica
Ergänzung zur Arbeit "Quadratische Formen über affinen Algebren und ein algebraischer Beweis des Satzes von Borsuk-Ulam".
A. Pfister, J.K. Arason (1983)
Journal für die reine und angewandte Mathematik
Fibrés quadratiques et composantes connexes réelles.
J.-L. Colliot-Thélène, J.-J. Sansuc (1979)
Mathematische Annalen
Fields with non-trivial Kaplansky's radical and finite square class number
M. Kula (1981)
Acta Arithmetica
Fields with Prescribed Quadratic Form Schemes.
Mieczyslaw Kula (1979)
Mathematische Zeitschrift
Formally real fields, pythagorean fields, C-fields and W-groups.
Ján Minác, Michel Spira (1990)
Mathematische Zeitschrift
Forms Derived from the Arithmetic-Geometric Inequality.
Bruce Reznick (1989)
Mathematische Annalen
Generalized Hilbert fields.
Kazimierz Szymiczek (1981)
Journal für die reine und angewandte Mathematik
Generalized Hubert fields, II
Kazimierz Szymiczek (1989)
Fundamenta Mathematicae
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