On the mu-invariant of Katz p-adic L-functions attached to imaginary quadratic fields

Affiliation auteursAffiliation ok
TitreOn the mu-invariant of Katz p-adic L-functions attached to imaginary quadratic fields
Type de publicationJournal Article
Year of Publication2016
AuteursOukhaba H, Viguie S
JournalFORUM MATHEMATICUM
Volume28
Pagination507-525
Date PublishedMAY
Type of ArticleArticle
ISSN0933-7741
Mots-clésColeman power series, Elliptic units, Iwasawa theory, mu-invariant, p-adic L-functions
Résumé

We extend to p = 2 and p = 3 the result of Gillard and Schneps which states that the mu-invariant of Katz p-adic L-functions attached to imaginary quadratic fields along the Coates-Wiles Z(p)-extension is zero for p > 3. The arithmetic interpretation of this fact is given in the introduction.

DOI10.1515/forum-2013-0194