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

DOI10.1112/S0010437X10005257zbMath1239.11120MaRDI QIDQ5199361

Haruzo Hida

Publication date: 16 August 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

Eisenstein seriesHecke \(L\)-functionIwasawa invariantShimura varietyHilbert modular variety\(p\)-adic modular form

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Arithmetic aspects of modular and Shimura varieties (11G18) Iwasawa theory (11R23) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (4)

On the -invariant of the cyclotomic derivative of a Katzp-adic -function ⋮ \(\mathfrak p\)-rigidity and Iwasawa \(\mu\)-invariants ⋮ The Iwasawa \(\mu \)-invariant of \(p\)-adic Hecke \(L\)-functions ⋮ Iwasawa μ-Invariants of p-Adic Hecke L-Functions

Cites Work

• \(p\)-adic \(L\)-functions for CM fields
• The Iwasawa \(\mu \)-invariant of \(p\)-adic Hecke \(L\)-functions
• Irreducibility of the Igusa tower
• Values of abelian \(L\)-functions at negative integers over totally real fields
• On some arithmetic properties of modular forms of one and several variables
• Appendix to ``The Iwasawa conjecture for totally real fields by A.Wiles: Arithmetic minimal compactification of the Hilbert-Blumenthal moduli spaces
• Moduli and fibre systems of abelian varieties
• Remarques sur l'invariant mu d'Iwasawa dans le cas CM
• Anti-cyclotomic Katz $p$-adic $L$-functions and congruence modules

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