On the mu-invariant of Katz p-adic L-functions attached to imaginary quadratic fields
Affiliation auteurs | Affiliation ok |
Titre | On the mu-invariant of Katz p-adic L-functions attached to imaginary quadratic fields |
Type de publication | Journal Article |
Year of Publication | 2016 |
Auteurs | Oukhaba H, Viguie S |
Journal | FORUM MATHEMATICUM |
Volume | 28 |
Pagination | 507-525 |
Date Published | MAY |
Type of Article | Article |
ISSN | 0933-7741 |
Mots-clés | Coleman 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. |
DOI | 10.1515/forum-2013-0194 |