Class numbers of real cyclotomic fields of composite conductor

DOI10.1112/S1461157014000382zbMath1300.11109OpenAlexW2332358942MaRDI QIDQ2878850

John C. Miller

Publication date: 5 September 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s1461157014000382

zbMATH Keywords

conductorclass numberHilbert class fieldroot discriminantmaximal totally real subfield of cyclotomic fields

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Totally real fields (11R80)

Related Items (8)

Distribution of prime ideals of higher residue degree across ideal classes in the class groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Log-\(\mathcal{S}\)-unit lattices using explicit Stickelberger generators to solve approx ideal-SVP ⋮ Norm relations and computational problems in number fields ⋮ Class numbers in cyclotomic \(\mathbb{Z}_p\)-extensions ⋮ A class number calculation of the \(5^{\mathrm{th}}\) layer of the cyclotomic \(\mathbb{Z}_2\)-extension of \(\mathbb{Q}(\sqrt{5})\) ⋮ On the Class Numbers in the Cyclotomic Z29- and Z31-Extensions of the Field of Rationals

Cites Work

• Class numbers of real cyclotomic fields of prime conductor
• Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results

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