Gauss’s ternary form reduction and its application to a prime decomposition symbol

DOI10.1017/S0027763000021371zbMath0562.12012OpenAlexW1516248316MaRDI QIDQ5187369

Yoshiomi Furuta

Publication date: 1985

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000021371

zbMATH Keywords

symbolintegral quadratic formsternary form reductiondecomposition law of primesnon-abelian central extensions

Mathematics Subject Classification ID

Quadratic extensions (11R11) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Class field theory (11R37) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (1)

Central extensions and rational quadratic forms

Cites Work

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• On the diophantine equation \(ax^2 +by^2 +cz^2 +2fyz+2gzx+2hxy = 0\)
• A prime decomposition symbol for a non-abelian central extension which is abelian over a bicyclic biquadratic field
• Composition of binary quadratic forms

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