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Vanishing of the μ-invariant of p-adic Hecke L-functions

Part of: Algebraic number theory: global fields Arithmetic algebraic geometry Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  24 March 2011

Haruzo Hida
Haruzo Hida*
Affiliation:
Department of Mathematics, UCLA, Los Angeles, CA 90095-1555, USA (email: [email protected])
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Abstract

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We prove vanishing of the μ-invariant of the p-adic Katz L-function in N. M. Katz [p-adic L-functions for CM fields, Invent. Math. 49 (1978), 199–297].

Keywords

Iwasawa invariantHecke L-functionHilbert modular varietyEisenstein seriesShimura variety

MSC classification

Secondary: 11R23: Iwasawa theory 11F33: Congruences for modular and $p$-adic modular forms 11F41: Automorphic forms on $(2)$; Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces 11F60: Hecke-Petersson operators, differential operators (several variables) 11F67: Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols 11G18: Arithmetic aspects of modular and Shimura varieties
Type
Research Article
Information
Compositio Mathematica , Volume 147 , Issue 4 , July 2011 , pp. 1151 - 1178
Copyright
Copyright © Foundation Compositio Mathematica 2011

References

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