Mathematical Proceedings of the Cambridge Philosophical Society · 2015 · 36 citations · 8 references
Natural SciencesMathematicsAlgebraNumber TheoryAlgebraic Number TheoryArithmetic GeometryQuadratic FormsQuadratic FieldsQuadratic Forms Over Number FieldsUniversal Quadratic Forms
Abstract Given any positive integer M , we show that there are infinitely many real quadratic fields that do not admit universal quadratic forms with even cross coefficients in M variables.
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An Introduction to the Theory of Numbers
Sums of m th Powers of Algebraic Integers
Carl Ludwig Siegel · Annals of Mathematics · 1945 · 103 citations