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Accessible Unlicensed Requires Authentication Published by De Gruyter April 15, 2015

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

Hassan Oukhaba and Stéphane Viguié
From the journal Forum Mathematicum

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

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