On p-adic L-functions and normal bases of rings of integers.

DOI10.1515/crll.1995.462.169zbMath0815.11055OpenAlexW4231923224MaRDI QIDQ4698856

Humio Ichimura

Publication date: 11 June 1995

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN00221265X

zbMATH Keywords

Galois module structure\(p\)-adic \(L\)-functionquotient groupcyclotomic extensionrelative normal integral basis

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (6)

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. ⋮ On a power integral bases problem over cyclotomic \(\mathbb{Z}_p\)-extensions ⋮ On a normal integral basis problem over cyclotomic \(Z_{p}\)-extensions. II.

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