On the genera and the class number of unimodular lattices over the ring of integers in real quadratic fields

DOI10.1016/0022-314X(90)90097-BzbMath0708.11024MaRDI QIDQ920135

Ichiro Takada

Publication date: 1990

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

real quadratic fieldgenus class numbergeneraeven unimodular lattice

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (1)

Unimodular lattices over real quadratic fields

Cites Work

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• Klassenzahlen definiter quadratischer Formen
• Even unimodular 12-dimensional quadratic forms over \({\mathbb{Q}}(\sqrt{5})\)
• Even unimodular 8-dimensional quadratic forms over \({\mathbb{Q}}(\sqrt{2})\)
• On a conjecture about class numbers of totally positive quadratic forms in totally real algebraic number fields
• Class numbers of quadratic forms over real quadratic fields
• On the class number of a unit lattice over a ring of real quadratic integers

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