On the Class Numbers in the Cyclotomic Z29- and Z31-Extensions of the Field of Rationals

DOI10.1080/10586458.2018.1482481zbMath1491.11104OpenAlexW2809131902MaRDI QIDQ5857717

Takayuki Morisawa, Yuta Kogoshi

Publication date: 7 April 2021

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2018.1482481

zbMATH Keywords

class number\(\mathbb Z_p\)-extension

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• 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 problem in the cyclotomic \(\mathbb Z_2\)-extension of \(\mathbb Q\). II.
• On the 2-part of the class numbers of cyclotomic fields of prime power conductors
• A note on class numbers of algebraic number fields
• Primary components of the ideal class group of the \(\mathbb Z_p\)-extension over \(\mathbb Q\) for typical inert primes
• The narrow class groups of the \(\mathbb Z_{17}\)- and \(\mathbb Z_{19}\)-extensions over the rational field
• The \(l\)-class group of the \(\mathbb Z_p\)-extension over the rational field
• Class numbers in cyclotomic \(\mathbb{Z}_p\)-extensions
• The ideal class group of the \(Z_{23}\)-extension over the rational field
• Certain primary components of the ideal class group of the \(\mathbb Z_p\)-extension over the rationals
• Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkörper
• A numerical study of Weber's real class number calculation
• Class numbers of totally real fields and applications to the Weber class number problem
• Class numbers of real cyclotomic fields of composite conductor
• Ideal Class Groups of Iwasawa-Theoretical Abelian Extensions Over the Rational Field
• WEBER'S CLASS NUMBER PROBLEM IN THE CYCLOTOMIC ℤ₂-EXTENSION OF ℚ, III
• The narrow class groups of some Z_p-extensions over the rationals
• Weber's Class Number Problem in the Cyclotomic ℤ₂-Extension of ℚ
• Class Number Computations of Real Abelian Number Fields
• On the product of the conjugates outside the unit circle of an algebraic number

This page was built for publication: On the Class Numbers in the Cyclotomic Z29- and Z31-Extensions of the Field of Rationals