The Representation of Binary Quadratic Forms by Positive Definite Quaternary Quadratic Forms

DOI10.2307/2155002zbMath0810.11019OpenAlexW4255096362MaRDI QIDQ4316971

Andrew G. Earnest

Publication date: 19 December 1994

Full work available at URL: https://doi.org/10.2307/2155002

zbMATH Keywords

successive minimahigher-dimensional analogue of Dickson's regularity conditioninequivalent quadratic latticesquaternary latticeregular positive definite integral quadratic form

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12)

Related Items (15)

On primitively 2-universal quadratic forms ⋮ Strictly regular ternary Hermitian forms ⋮ Finiteness theorems for positive definite 𝑛-regular quadratic forms ⋮ Minimal universality criterion sets on the representations of binary quadratic forms ⋮ The rank of new regular quadratic forms ⋮ Positive definite binary Hermitian forms with finitely many exceptions ⋮ Quadratic forms with a strong regularity property on the representations of squares ⋮ Regular ternary triangular forms ⋮ Strictly regular quaternary quadratic forms and lattices ⋮ Positive definite \(n\)-regular quadratic forms ⋮ Representation of integers by positive definite binary hermitian lattices over imaginary quadratic fields ⋮ Universal positive quaternary quadratic lattices over totally real number fields ⋮ Regular ternary polygonal forms ⋮ A finiteness theorem for positive definite strictly \(n\)-regular quadratic forms ⋮ The representation of integers by positive ternary quadratic polynomials

Cites Work

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• Über die Anzahl der in einem Geschlecht enthaltenen Klassen von positiv-definiten quadratischen Formen
• The Integral Representations of Quadratic Forms Over Local Fields
• On Character Sums and L -Series. II
• The representation of integers by positive ternary quadratic forms
• Regular positive ternary quadratic forms

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