\(p\)-adic \(L\)-functions of Hilbert modular forms

DOI10.5802/aif.1425zbMath0808.11035OpenAlexW2322400435MaRDI QIDQ1341645

Andrzej Dąbrowski

Publication date: 8 January 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1994__44_4_1025_0

zbMATH Keywords

\(p\)-adic \(L\)-functiongrowth conditioncomplex-valued distributiongrowth distributionHilbert cusp formnon-archimedean Mellin transform

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85)

Related Items (12)

Motives over totally real fields and \(p\)-adic \(L\)-functions ⋮ On Shalika models and \(p\)-adic \(L\)-functions ⋮ On the \(p\)-adic \(L\)-function of Hilbert modular forms at supersingular primes ⋮ Overconvergent cohomology of Hilbert modular varieties and p-adic L-functions ⋮ On special zeros of \(p\)-adic \(L\)-functions of Hilbert modular forms ⋮ On Teitelbaum type \(\mathcal{L}\)-invariants of Hilbert modular forms attached to definite quaternions ⋮ Plus/minus \(p\)-adic \(L\)-functions for Hilbert modular forms ⋮ The cyclotomic Iwasawa main conjecture for Hilbert cusp forms with complex multiplication ⋮ Bounded \(p\)-adic \(L\)-functions of motives at supersingular primes ⋮ The exceptional zero conjecture for Hilbert modular forms ⋮ EXCEPTIONAL ZEROES OF P-ADIC L-FUNCTIONS OVER NON-ABELIAN FIELD EXTENSIONS ⋮ Beilinson-Kato and Beilinson-Flach elements, Coleman-Rubin-Stark classes, Heegner points and a conjecture of Perrin-riou

Cites Work

• \(p\)-adic \(L\)-functions for CM fields
• Nonvanishing of \(L\)-functions for \(\mathrm{GL}(2)\)
• Non-Archimedean L-functions of Siegel and Hilbert modular forms
• The special values of the zeta functions associated with Hilbert modular forms
• Motives over totally real fields and \(p\)-adic \(L\)-functions
• On \(p\)-adic \(L\)-functions of \(GL(2) \times{} GL(2)\) over totally real fields
• On automorphic forms on \(mathrm{GL}_2\) and Hecke operators
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