Representations of definite binary quadratic forms over \(\mathbb F_q[t]\)

zbMath1234.11044arXiv0905.3857MaRDI QIDQ2267697

Jean Bureau, Jorge F. Morales

Publication date: 1 March 2010

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3857

zbMATH Keywords

quadratic formrepresentationbinary formclass numberdiscriminantgenusprimitive formternary formreduced formdefinite form

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (1)

Isospectral definite ternary \(\mathbb F_q[t\)-lattices]

Cites Work

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• Class numbers of definite binary quadratic lattices over algebraic function fields
• Isospectral definite ternary \(\mathbb F_q[t\)-lattices]
• Composition of binary quadratic forms
• Definite quadratic forms over \({\mathbb F}_q[x\)]
• Determination of a binary quadratic form by its values at integer points
• Definite regular quadratic forms over 𝔽_{𝕢}[𝕋]

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