Weber’s Class Number One Problem

DOI10.1007/978-3-642-55245-8_6zbMath1361.11072OpenAlexW182656484MaRDI QIDQ5261378

Takayuki Morisawa, Keiichi Komatsu, Takashi Fukuda

Publication date: 3 July 2015

Published in: Contributions in Mathematical and Computational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-55245-8_6

zbMATH Keywords

\(\mathbb{Z}_p\)-extensions\(\ell\)-indivisibilityWeber's class number problem

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (2)

The ideal class group of the \(\mathbb Z_p\)-extension over the rationals ⋮ Class numbers in cyclotomic \(\mathbb{Z}_p\)-extensions

Cites Work

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• On \({\mathbb{Z}}_ p\)-extensions of real abelian fields
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• Mahler measure of the Horie unit and Weber's class number problem in the cyclotomic Z₃-extension of Q
• The narrow class groups of some Z_p-extensions over the rationals
• Weber's Class Number Problem in the Cyclotomic ℤ₂-Extension of ℚ
• Class Number Computations of Real Abelian Number Fields
• Algorithmic Number Theory

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