A class number problem in the cyclotomic \(\mathbb Z_3\)-extension of \(\mathbb Q\)

DOI10.3836/tjm/1264170249zbMath1205.11116OpenAlexW2056851338MaRDI QIDQ981932

Takayuki Morisawa

Publication date: 9 July 2010

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1264170249

zbMATH Keywords

class numbercyclotomic \(\mathbb Z_3\)-extension of \(\mathbb Q\)

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (2)

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

Cites Work

• A note on class numbers of algebraic number fields
• Certain primary components of the ideal class group of the \(\mathbb Z_p\)-extension 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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