Motives over totally real fields and \(p\)-adic \(L\)-functions
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Publication:1341644
DOI10.5802/aif.1424zbMath0808.11034OpenAlexW2323879757MaRDI QIDQ1341644
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_989_0
Newton polygonHilbert modular formscritical valuesspecial valuesperiods\(p\)-adic \(L\)-functionmotives\(p\)-adic analytic continuationHodge polygon
Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Étale and other Grothendieck topologies and (co)homologies (14F20) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)
Related Items (22)
On critical values of \(L\)-functions of potentially automorphic motives ⋮ \(p\)-adic \(L\)-functions of Hilbert modular forms ⋮ \(p\)-adic and analytic properties of period integrals and values of \(L\)-functions ⋮ \(p\)-adic \(L\)-functions of Hilbert cusp forms and the trivial zero conjecture ⋮ Unnamed Item ⋮ On the \(p\)-adic \(L\)-function of Hilbert modular forms at supersingular primes ⋮ -ADIC -FUNCTIONS FOR UNITARY GROUPS ⋮ Overconvergent cohomology of Hilbert modular varieties and p-adic L-functions ⋮ P-adic L-functions in universal deformation families ⋮ Two variable \(p\)-adic \(L\) functions attached to eigenfamilies of positive slope ⋮ Period relations for cusp forms of \(\operatorname{GSp_4}\) ⋮ On admissible distributions attached to convolutions of Hilbert modular forms ⋮ \(\mathfrak{p}\)-adic distributions attached to twisted tensor \(L\)-functions for \(\mathrm{GL}_{2}\) over CM fields ⋮ The cyclotomic Iwasawa main conjecture for Hilbert cusp forms with complex multiplication ⋮ On Bloch-Kato Selmer groups and Iwasawa theory of \(p\)-adic Galois representations ⋮ Families of Siegel modular forms, \(L\)-functions and modularity lifting conjectures ⋮ Bounded \(p\)-adic \(L\)-functions of motives at supersingular primes ⋮ On the Siegel-Eisenstein measure and its applications ⋮ On zeta functions and families of Siegel modular forms ⋮ SUR LES PRODUITS TRIPLES Λ-ADIQUES ⋮ P-Adic Integration on Ray Class Groups and Non-ordinary p-Adic L-Functions ⋮ Iwasawa theory for symmetric powers of CM modular forms at non-ordinary primes
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