Cubic twists of \(\text{GL}(2)\) automorphic \(L\)-functions

DOI10.1007/s00222-004-0398-8zbMath1145.11041OpenAlexW2001441970MaRDI QIDQ1770277

Jeffrey Hoffstein, Solomon Friedberg, Benjamin Brubaker

Publication date: 14 April 2005

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

Full work available at URL: https://doi.org/10.1007/s00222-004-0398-8

zbMATH Keywords

mean valuecuspidal automorphic representationnonvanishing theoremcubic Hecke charactersTauberian methodstwisted \(L\)-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68) Applications of automorphic functions and forms to multiplicative problems (11N75)

Related Items (6)

Conjectures for Moments Associated With Cubic Twists of Elliptic Curves ⋮ Mean values with cubic characters ⋮ Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series ⋮ Moments of central values of quartic Dirichlet \(L\)-functions ⋮ Moments of central values of cubic Hecke \(L\)-functions of \(\mathbb{Q}(i)\) ⋮ On Deligne's conjecture for certain automorphic \(L\)-Functions for \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) and \(\mathrm{GL}(4)\)

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