On Artin L-functions associated to Hilbert modular forms of weight one

DOI10.1007/BF01388529zbMath0523.12009OpenAlexW2022338967MaRDI QIDQ1056789

Jerrold B. Tunnell, Jonathan D. Rogawski

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143060

zbMATH Keywords

L-functionquaternion algebraautomorphic representationtotally real fieldsJacquet-Langlands correspondenceArtin conjectureLanglands conjecturescohomology of Shimura varietiesGelbart-Jacquet liftholomorphic cuspidal representationlocal Euler factors

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Langlands-Weil conjectures, nonabelian class field theory (11R39) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Totally real fields (11R80)

Related Items (31)

Classical weight one forms in Hida families: Hilbert modular case ⋮ Motives over totally real fields and \(p\)-adic \(L\)-functions ⋮ on l-adic representations attached to modular forms II ⋮ Icosahedral Galois extensions and elliptic curves ⋮ On ordinary \(\lambda\)-adic representations associated to modular forms ⋮ Unnamed Item ⋮ On Serre's conjecture for mod \(\ell \) Galois representations over totally real fields ⋮ On local Galois representations associated to ordinary Hilbert modular forms ⋮ Non-solvable base change for Hilbert modular representations and zeta functions of twisted quaternionic Shimura varieties ⋮ On L-Functions of Twisted 3-Dimensional Quaternionic Shimura Varieties ⋮ On the eigenvariety of Hilbert modular forms at classical parallel weight one points with dihedral projective image ⋮ On Galois representations associated to Hilbert modular forms ⋮ Tate classes and \(L\)-functions on a product of a quaternionic Shimura surface and a Picard modular surface ⋮ On the computation of local components of a newform ⋮ ALGEBRAIC CYCLES ON COMPACT QUATERNIONIC SHIMURA FOURFOLDS AND POLES OF L-FUNCTIONS ⋮ Tate conjecture for a product of a Shimura curve and a Picard modular surface ⋮ Analytic continuation of overconvergent Hilbert eigenforms in the totally split case ⋮ Galois representations and torsion in the coherent cohomology of Hilbert modular varieties ⋮ Algebraic cycles on a product of two Hilbert modular surfaces ⋮ The meromorphic continuation of the zeta function of a product of Hilbert and Picard modular surfaces over CM-fields ⋮ On \(L\)-functions of twisted 4-dimensional quaternionic Shimura varieties ⋮ A non-solvable Galois extension of \(\mathbb Q\) ramified at 2 only ⋮ On the Hilbert eigenvariety at exotic and CM classical weight 1 points ⋮ UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR FORMS MOD  OF WEIGHT 1 ⋮ Unnamed Item ⋮ Les variétés de Hecke–Hilbert aux points classiques de poids parallèle 1 ⋮ Hilbert modular forms and p-adic Hodge theory ⋮ Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert ⋮ Galois representations for Hilbert modular forms ⋮ Galois representations associated to holomorphic limits of discrete series ⋮ Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case

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