On the class number of a unit lattice over a ring of real quadratic integers

DOI10.1017/S0027763000020584zbMath0506.10021OpenAlexW1499015491MaRDI QIDQ4742859

Yoshio Mimura

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1017/s0027763000020584

zbMATH Keywords

real quadratic fieldunit quadratic formclass number two problemKneser's adjacent lattices

Mathematics Subject Classification ID

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

Related Items (6)

Unimodular lattices over real quadratic fields ⋮ The universal quaternary quadratic form with the maximal discriminant ⋮ On the genera and the class number of unimodular lattices over the ring of integers in real quadratic fields ⋮ The concept of the \(cg\)-genus of quadratic forms ⋮ Quaternary universal forms over \(\mathbb Q(\sqrt{13})\) ⋮ 2-universal \(\mathcal O\)-lattices over real quadratic fields

Cites Work

• Unnamed Item
• Klassenzahlen definiter quadratischer Formen
• Einklassige Geschlechter von Einheitsformen in totalreellen algebraischen Zahlkörpern
• Die Klassen im Geschlecht von \(xsb1^2 + x_2^2 + s_3^2\) und \(x_1^2 + x_2^2 + x_3^2 + x_4^2\) über \(Z[\sqrt3\)]
• Einklassige Geschlechter totalpositiver quadratischer Formen in totalreellen algebraischen Zahlkörpern
• Quadratsummen in reell‐quadratischen Zahlkörpern

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