Determination of all classes of positive quaternary quadratic forms which represent all (positive) integers

DOI10.1090/S0002-9904-1948-08998-4zbMath0032.26603MaRDI QIDQ5790227

Margaret Willerding

Publication date: 1948

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Number theory

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12)

Related Items (11)

On indefinite \(k\)-universal integral quadratic forms over number fields ⋮ Unnamed Item ⋮ Diagonal quadratic forms representing all binary diagonal quadratic forms ⋮ Universal binary Hermitian forms ⋮ Universal sums of generalized heptagonal numbers ⋮ Universal forms over \(\mathbb Q(\sqrt{5})\) ⋮ Universal positive quaternary quadratic lattices over totally real number fields ⋮ The fifteen theorem for universal Hermitian lattices over imaginary quadratic fields ⋮ Quadratic forms representing all integers coprime to 3 ⋮ Determination of all classes of positive quaternary quadratic forms which represent all (positive) integers ⋮ Primitively universal quaternary quadratic forms

Cites Work

• Unnamed Item
• Regular and semi-regular positive ternary quadratic forms
• An almost universal form
• Determination of all classes of positive quaternary quadratic forms which represent all (positive) integers
• On a Problem of Ramanujan

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