On the vanishing of Iwasawa's constant μ for the cyclotomic \Z_p-extensions of CM number fields

2014/09/10 by Mihailescu, Preda
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1409.3114

Abstract

We prove that μ= 0 for the cyclotomic \Z_p-extensions of CM number fields.

Related

• Iwasawa's constant μ vanishes in cyclotomic \Z_p-extensions of CM fields
• Sur la nullité du mu-invariant d'Iwasawa des corps totalement réels
• The Leopoldt and Iwasawa Conjectures for CM fields
• Iwasawa Invariants of Some Non-Cyclotomic \mathbb Z_p-extensions
• Heuristics for anti-cyclotomic ℤ_p-extensions