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

2011/12/07 by Hsieh, Ming-Lun · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1112.1574

Abstract

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

Cited by

• Mod ℓ non-vanishing of self-dual Hecke L-values over CM fields and applications

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• Non-vanishing of Hecke L-values modulo p
• Two variable anticyclotomic p-adic L-functions for Hida families
• Stability of p-adic valuations of Hecke L-values
• Special values of anticyclotomic L-functions for modular forms
• Extremal p-adic L-functions