Computation of the Iwasawa invariants of certain real abelian fields.

DOI10.1016/j.jnt.2003.11.002zbMath1048.11085OpenAlexW2068822186MaRDI QIDQ1429808

Hiroki Sumida-Takahashi

Publication date: 27 May 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.11.002

zbMATH Keywords

Gauss sumGreenberg's conjectureIwasawa invariantVandiver's conjectureIdeal class groupCyclotomic unit

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Iwasawa theory (11R23) Software, source code, etc. for problems pertaining to number theory (11-04)

Related Items (2)

A generalized problem associated to the Kummer-Vandiver conjecture ⋮ Computation of the $p$-part of the ideal class group of certain real abelian fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on class numbers of algebraic number fields
• Class fields of abelian extensions of \(\mathbb Q\)
• Class groups of abelian fields, and the main conjecture
• On \({\mathbb{Z}}_ p\)-extensions of real quadratic fields
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• On the Stickelberger ideal and the circular units of an abelian field
• Remarques sur les unites cyclotomiques et les unites elliptiques
• Initial layers of \(\mathbb{Z}_p\)-extensions and Greenberg's conjecture
• On the Iwasawa invariants of certain real abelian fields
• Local units modulo Gauss sums
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• The Iwasawa \(\lambda\)-invariants of real abelian fields and the cyclotomic elements
• The Iwasawa conjecture for totally real fields
• ON THE IWASAWA INVARIANTS OF CERTAIN REAL ABELIAN FIELDS II
• On the Iwasawa Invariants of Totally Real Number Fields
• The Iwasawa λ-invariants of ℤₚ-extensions of real quadratic fields
• A capitulation problem and Greenberg’s conjecture on real quadratic fields
• Perfect forms and the Vandiver conjecture
• On the units of algebraic number fields
• Lectures on P-Adic L-Functions. (AM-74)
• On the units of an algebraic number field
• Irregular primes and cyclotomic invariants to 12 million

This page was built for publication: Computation of the Iwasawa invariants of certain real abelian fields.