On elliptic units and class number of a certain non-Galois number field

DOI10.1007/BF01168577zbMath0527.12005MaRDI QIDQ595705

Heima Hayashi

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154971

zbMATH Keywords

tablesclass numberDedekind eta-functionelliptic unitsimaginary dihedral extension

Mathematics Subject Classification ID

Units and factorization (11R27) Other number fields (11R21) Class numbers, class groups, discriminants (11R29) Dedekind eta function, Dedekind sums (11F20) Elliptic and modular units (11G16)

Cites Work

• Unnamed Item
• Class number calculation and elliptic unit. II: Quartic case
• Sur l'arithmétique des extensions galoisiennes à groupe de Galois diédral d'ordre \(2p\)
• Class number calculation of a cubic field from the elliptic unit.
• Die Klassenzahl der Teilkörper abelscher Erweiterungen imaginär-quadratischer Zahlkörper. II.
• L-Reihen in imaginär-quadratischen Zahlkörpern und ihre Anwendung auf Klassenzahlprobleme bei quadratischen und biquadratischen Zahlkörpern. I.

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