An application of the Fermat quotient of units to the method of Kim

DOI10.1007/BF02941456zbMath0992.11060OpenAlexW1976037097MaRDI QIDQ5956158

No author found.

Publication date: 15 September 2002

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02941456

zbMATH Keywords

class number\(\mathbb Z_p\)-extensionabelian fieldcyclotomic unitFermat quotientgeneralized Bernoulli numberTate cohomology groupunit

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Galois cohomology (11R34) Other abelian and metabelian extensions (11R20)

Cites Work

• On the Stickelberger ideal and the circular units of an abelian field
• Cohomology groups of cyclotomic units
• Cyclotomic unit and its Fermat quotient
• Coates-Wiles series and Mirimanoff's polynomial
• On relations between cyclotomic units
• Index for subgroups of the group of units in number fields
• Class numbers of real quadratic fields
• Class numbers of certain real abelian fields
• Units and Cyclotomic Units in Z_p-Extensions

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