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On the μ-invariant of Katz p-adic L-functions attached to imaginary quadratic fields
-
Hassan Oukhaba
and
Stéphane Viguié
Published/Copyright:
April 15, 2015
Abstract
We extend to p = 2 and p = 3 the result of Gillard and Schneps which states that the μ-invariant of Katz p-adic L-functions attached to imaginary quadratic fields along the Coates–Wiles ℤp-extension is zero for p > 3. The arithmetic interpretation of this fact is given in the introduction.
The authors are very grateful to the referees for their expert reading and also for all their remarks, suggestions and questions. The final form of this document owes much to their intervention.
Received: 2013-12-6
Revised: 2014-10-17
Published Online: 2015-4-15
Published in Print: 2016-5-1
© 2016 by De Gruyter
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Articles in the same Issue
- Frontmatter
- The elliptic trilogarithm and Mahler measures of K3 surfaces
- Morphisms determined by objects and flat covers
- Graev ultrametrics and free products of Polish groups
- Critical values of Rankin–Selberg L-functions for GLn × GLn-1 and the symmetric cube L-functions for GL2
- Simple connectivity in polar spaces
- On the μ-invariant of Katz p-adic L-functions attached to imaginary quadratic fields
- Non-existence of certain Einstein metrics on some symplectic manifolds
- A note on real algebraic groups
- Coercive and noncoercive nonlinear Neumann problems with indefinite potential
- No universal group in a cardinal
- Finite involution semigroups with infinite irredundant bases of identities
Keywords for this article
Elliptic units;
Coleman power series;
p-adic L-functions;
μ-invariant;
Iwasawa theory
Articles in the same Issue
- Frontmatter
- The elliptic trilogarithm and Mahler measures of K3 surfaces
- Morphisms determined by objects and flat covers
- Graev ultrametrics and free products of Polish groups
- Critical values of Rankin–Selberg L-functions for GLn × GLn-1 and the symmetric cube L-functions for GL2
- Simple connectivity in polar spaces
- On the μ-invariant of Katz p-adic L-functions attached to imaginary quadratic fields
- Non-existence of certain Einstein metrics on some symplectic manifolds
- A note on real algebraic groups
- Coercive and noncoercive nonlinear Neumann problems with indefinite potential
- No universal group in a cardinal
- Finite involution semigroups with infinite irredundant bases of identities
