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arXiv · 1311.3565

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

Hassan Oukhaba·Stéphane Viguié
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Abstract

We extend to $p=2$ and $p=3$ the result of Gillard and Schneps which says that the $μ$-invariant of Katz $p$-adic $L$ functions attached to imaginary quadratic fields is zero for $p>3$. The arithmetic interpretation of this fact is given in the introduction.

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Hassan Oukhaba, Stéphane Viguié. 2013-11-14. On the $μ$-invariant of Katz $p$-adic $L$ functions attached to imaginary quadratic fields and applications. https://arxiv.org/abs/1311.3565

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