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Weber’s Class Number One Problem (Q5261378)

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scientific article; zbMATH DE number 6455253

Language	Label	Description	Also known as
English	Weber’s Class Number One Problem	scientific article; zbMATH DE number 6455253

Statements

scholarly article

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Weber’s Class Number One Problem (English)

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Keiichi Komatsu

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Takayuki Morisawa

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Contributions in Mathematical and Computational Sciences

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publication date

3 July 2015

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zbMATH Keywords

\(\ell\)-indivisibility

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Weber's class number problem

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\(\mathbb{Z}_p\)-extensions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-642-55245-8_6

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Algorithmic Number Theory

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Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkörper

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A numerical study of Weber's real class number calculation

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Weber's Class Number Problem in the Cyclotomic ℤ<sub>2</sub>-Extension of ℚ

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Weber's class number problem in the cyclotomic \(\mathbb Z_2\)-extension of \(\mathbb Q\). II.

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WEBER'S CLASS NUMBER PROBLEM IN THE CYCLOTOMIC ℤ<sub>2</sub>-EXTENSION OF ℚ, III

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Ideal Class Groups of Iwasawa-Theoretical Abelian Extensions Over the Rational Field

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Primary components of the ideal class group of the \(\mathbb Z_p\)-extension over \(\mathbb Q\) for typical inert primes

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The ideal class group of the basic \(\mathbb Z_p\)-extension over an imaginary quadratic field

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Certain primary components of the ideal class group of the \(\mathbb Z_p\)-extension over the rationals

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The narrow class groups of some Z<sub>p</sub>-extensions over the rationals

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The ideal class group of the \(\mathbb Z_p\)-extension over the rationals

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The ideal class group of the \(Z_{23}\)-extension over the rational field

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The narrow class groups of the \(\mathbb Z_{17}\)- and \(\mathbb Z_{19}\)-extensions over the rational field

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On \({\mathbb{Z}}_ p\)-extensions of real abelian fields

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A note on class numbers of algebraic number fields

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Class fields of abelian extensions of \(\mathbb Q\)

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A class number problem in the cyclotomic \(\mathbb Z_3\)-extension of \(\mathbb Q\)

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Mahler measure of the Horie unit and Weber's class number problem in the cyclotomic Z<sub>3</sub>-extension of Q

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On the \(\ell \)-part of the \(\mathbb Z_{p_1}\times \dots \times \mathbb Z_{p_s}\)-extension of \(\mathbb Q\)

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Mahler measure and Weber's class number problem in the cyclotomic \(\mathbb Z_p\)-extension of \(\mathbb Q\) for odd prime number \(p\)

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Class Number Computations of Real Abelian Number Fields

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The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension

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Identifiers

zbMATH Open document ID

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10.1007/978-3-642-55245-8_6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5261378

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