On a normal integral bases problem over cyclotomic \(\mathbb{Z}_p\)-extensions

DOI10.2969/JMSJ/04840689zbMath0892.11036OpenAlexW2074653705MaRDI QIDQ1363220

Humio Ichimura

Publication date: 31 August 1997

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04840689

zbMATH Keywords

Kummer extensionsspecial values of \(L\)-functionscyclotomic \(\mathbb{Z}_p\) extensionIwasawa \(\Lambda\)-invariantrelative normal basis

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (8)

Biographical Sketch of Professor Humio Ichimura ⋮ Normal integral basis of an unramified quadratic extension over a cyclotomic \(\mathbb{Z}_2\)-extension ⋮ On some congruences for units of local \(p\)-cyclotomic fields ⋮ On the ring of integers of a tame Kummer extension over a number field. ⋮ Note on the ring of integers of a Kummer extension of prime degree. III ⋮ On \(p\)-adic \(L\)-functions and \(\mathbb{Z}_p\)-extensions of certain real abelian number fields ⋮ On a power integral bases problem over cyclotomic \(\mathbb{Z}_p\)-extensions ⋮ On a normal integral basis problem over cyclotomic \(Z_{p}\)-extensions. II.

This page was built for publication: On a normal integral bases problem over cyclotomic \(\mathbb{Z}_p\)-extensions