scientific article

zbMath1247.11070MaRDI QIDQ3077962

Joseph Hundley, Dorian Goldfeld

Publication date: 18 February 2011

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

automorphic formsgeneral linear groupautomorphic representations

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) (p)-adic theory, local fields (11F85) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representations of Lie and linear algebraic groups over local fields (22E50) Automorphic forms, one variable (11F12) 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) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (13)

Asymptotics for cuspidal representations by functoriality from \(\mathrm{GL}(2)\) ⋮ On Motohashi’s formula ⋮ On the cusp forms of congruence subgroups of an almost simple Lie group ⋮ Distribution of rational points of bounded height on equivariant compactifications of \(\mathrm{PGL}_2\). I ⋮ A multi-variable Rankin-Selberg integral for a product of \(\mathrm{GL}_2\)-twisted spinor \(L\)-functions ⋮ Adelic versions of the Weierstrass approximation theorem ⋮ Infinite series whose topology of convergence varies from point to point ⋮ First moments of Fourier coefficients of \(\mathrm{GL}(r)\) cusp forms ⋮ Parabolic type equations and Markov stochastic processes on adeles ⋮ Adelic multiresolution analysis, construction of wavelet bases and pseudo-differential operators ⋮ Fourier expansions of \(\mathrm{GL}(2)\) newforms at various cusps ⋮ Simultaneous non-vanishing for Dirichlet \(L\)-functions ⋮ Algebraicity of critical values of adjoint \(L\)-functions for \(\mathrm{GSp}_4\)

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