On a modification of the group of circular units of a real abelian field

DOI10.1016/j.jnt.2013.03.009zbMath1309.11074OpenAlexW2068928049MaRDI QIDQ740860

Michal Bulant, Radan Kučera

Publication date: 9 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.03.009

zbMATH Keywords

class numbersreal abelian fields\(\mathbb Z_p\)-extensionscircular units

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Cites Work

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• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Class groups of abelian fields, and the main conjecture
• A note on Thaine's circular units
• On the Stickelberger ideal and the circular units of an abelian field
• On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic field
• Different groups of circular units of a compositum of real quadratic fields
• A class number formula for higher derivatives of abelian L-functions

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