Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkörper

DOI10.1016/0022-314X(69)90034-1zbMath0167.32301OpenAlexW2038146609MaRDI QIDQ2530780

Helmut Bauer

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1016/0022-314x(69)90034-1

zbMATH Keywords

class numbersnumerical determinationreal cyclic fields

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (19)

Non-norm-Euclidean fields in basic \(Z_{l}\)-extensions ⋮ Unnamed Item ⋮ WEBER'S CLASS NUMBER PROBLEM IN THE CYCLOTOMIC ℤ₂-EXTENSION OF ℚ, III ⋮ Unnamed Item ⋮ Mahler measure and Weber's class number problem in the cyclotomic \(\mathbb Z_p\)-extension of \(\mathbb Q\) for odd prime number \(p\) ⋮ The \(l\)-class group of the \(\mathbb Z_p\)-extension over the rational field ⋮ Weber's class number problem in the cyclotomic \(\mathbb Z_2\)-extension of \(\mathbb Q\). II. ⋮ Height and Weber's class number problem ⋮ Security analysis of cryptosystems using short generators over ideal lattices ⋮ Class numbers in cyclotomic \(\mathbb{Z}_p\)-extensions ⋮ On the Ideal Class Groups of Imaginary Abelian Fields with Small Conductor ⋮ Groupe des classes de l'algèbre d'un groupe metacyclique ⋮ Units and class numbers of a dihedral Galois extension of \(\mathbb{Q}\) ⋮ A class number calculation of the \(5^{\mathrm{th}}\) layer of the cyclotomic \(\mathbb{Z}_2\)-extension of \(\mathbb{Q}(\sqrt{5})\) ⋮ Class numbers and a generalized Fermat theorem ⋮ Solution of the class number two problem for cyclotomic fields ⋮ On the Class Numbers in the Cyclotomic Z29- and Z31-Extensions of the Field of Rationals ⋮ Weber’s Class Number One Problem ⋮ Triviality of the ℓ-class groups in -extensions of for split primes p ≡ 1 modulo 4

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