On the mu-invariant of anticyclotomic p-adic L-functions for CM fields

Details On the mu-invariant of anticyclotomic p-adic L-functions for CM fields On the mu-invariant of anticyclotomic p-adic L-functions for CM fields

2011-12-07

arxiv.org/abs/1112.1574v1

Mathematics

Number Theory

Scientific paper

In this article, we follow Hida's approach to study the mu-invariant of the
anticyclotomic projection of p-adic Hecke L-function for CM fields along a
branch character. We give an exact mu-invariant formula for self-dual branch
characters and prove a conjecture of Gillard on the vanishing of the
mu-invariant.

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