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arXiv · 1304.4298

On the $μ$-invariant of the cyclotomic derivative of Katz p-adic L-function

Ashay A. Burungale
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Abstract

When the branch character has root number -1, the corresponding anticyclotomic Katz p-adic L-function identically vanishes. In this case, we study the $μ$-invariant of the cyclotomic derivative of Katz p-adic L-function. As an application, this proves the non-vanishing of the anticyclotomic regulator of a self-dual CM modular form with the root number -1. The result also plays a crucial role in the recent work of Hsieh on the Eisenstein ideal approach to a one-sided divisibility of the CM main conjecture.

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BibTeXRIS

Ashay A. Burungale. 2013-12-02. On the $μ$-invariant of the cyclotomic derivative of Katz p-adic L-function. https://doi.org/10.1017/s1474748013000388

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