A class number calculation of the \(5^{\mathrm{th}}\) layer of the cyclotomic \(\mathbb{Z}_2\)-extension of \(\mathbb{Q}(\sqrt{5})\)

DOI10.7169/FACM/1795zbMath1456.11215OpenAlexW2982279110MaRDI QIDQ782775

Takuya Aoki

Publication date: 29 July 2020

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1572055504

zbMATH Keywords

class numbercomputation

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29)

Cites Work

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• A class number problem for the cyclotomic \(\mathbb{Z}_2\)-extension of \(\mathbb{Q}(\sqrt{5})\)
• A note on class numbers of algebraic number fields
• Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkörper
• A numerical study of Weber's real class number calculation
• Class numbers of totally real fields and applications to the Weber class number problem
• Class numbers of real cyclotomic fields of composite conductor
• WEBER'S CLASS NUMBER PROBLEM IN THE CYCLOTOMIC ℤ₂-EXTENSION OF ℚ, III
• Class Number Computations of Real Abelian Number Fields

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