Mahler measure of the Horie unit and Weber's class number problem in the cyclotomic Z3-extension of Q

DOI10.4064/AA153-1-3zbMath1325.11121OpenAlexW2304898423MaRDI QIDQ3223878

Takayuki Morisawa

Publication date: 8 March 2012

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa153-1-3

zbMATH Keywords

class numberMahler measure\(\mathbb Z_p\)-extensioncyclotomic unitHorie unit

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (4)

Mahler measure and Weber's class number problem in the cyclotomic \(\mathbb Z_p\)-extension of \(\mathbb Q\) for odd prime number \(p\) ⋮ Height and Weber's class number problem ⋮ Weber’s Class Number One Problem ⋮ Triviality of the ℓ-class groups in -extensions of for split primes p ≡ 1 modulo 4

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