Positive definite quadratic forms representing integers of the form \(an^2+b\)

DOI10.1007/s11139-011-9323-0zbMath1255.11017OpenAlexW2018752322MaRDI QIDQ427284

Byeong-Kweon Oh, Yun-Seong Ji, Myung-Hwan Kim

Publication date: 13 June 2012

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-011-9323-0

zbMATH Keywords

positive definite quadratic formsrepresentation of integers\(S\)-universal quadratic forms

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) General binary quadratic forms (11E16)

Related Items (2)

Minimal universality criterion sets on the representations of binary quadratic forms ⋮ Isolations of cubic lattices from their proper sublattices

Cites Work

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• Five regular or nearly-regular ternary quadratic forms
• REPRESENTATIONS OF ARITHMETIC PROGRESSIONS BY POSITIVE DEFINITE QUADRATIC FORMS
• A finiteness theorem for representability of quadratic forms by forms
• A family of quartic Thue inequalities
• Ternary positive quadratic forms that represent all odd positive integers

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