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

DOI10.2748/TMJ/1372182725zbMath1280.11069OpenAlexW2042759359WikidataQ114040406 ScholiaQ114040406MaRDI QIDQ372609

Takayuki Morisawa, Ryotaro Okazaki

Publication date: 9 October 2013

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1372182725

zbMATH Keywords

class numberMahler measureconvex bodies\(Z_p\)-extensionsHorie units

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (6)

Filtrations of units of Viète field ⋮ On the class number of a real abelian field of prime conductor ⋮ Height and Weber's class number problem ⋮ Tate-Shafarevich groups in the cyclotomic \(\hat{\mathbb{Z}} \)-extension and Weber's class number problem ⋮ On the Class Numbers in the Cyclotomic Z29- and Z31-Extensions of the Field of Rationals ⋮ Weber’s Class Number One Problem

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