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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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Publication:1946706
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DOI10.1016/j.jnt.2012.09.017zbMath1276.11179OpenAlexW186217915MaRDI QIDQ1946706

Takayuki Morisawa

Publication date: 15 April 2013

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.09.017

zbMATH Keywords

class numbercircular units\(\mathbb Z_{p}\)-extensionHeight of algebraic numbers


Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)


Related Items

Tate-Shafarevich groups in the cyclotomic \(\hat{\mathbb{Z}} \)-extension and Weber's class number problem, Weber’s Class Number One Problem



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