Mahler measure of the Horie unit and Weber’s Class Number Problem in the Cyclotomic Z[sub p]-extension of Q

DOI10.1063/1.3478179zbMath1201.11104OpenAlexW2047127499MaRDI QIDQ3584073

Takayuki Morisawa

Publication date: 18 August 2010

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3478179

zbMATH Keywords

class numberMahler measurecyclotomic fieldscyclotomic units

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)

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Tate-Shafarevich groups in the cyclotomic \(\hat{\mathbb{Z}} \)-extension and Weber's class number problem

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