On some applications of automorphic forms to number theory
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Publication:4890190
DOI10.1090/S0273-0979-96-00654-4zbMath0865.11043MaRDI QIDQ4890190
Solomon Friedberg, Jeffrey Hoffstein, Daniel Bump
Publication date: 20 July 1997
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Applications of automorphic functions and forms to multiplicative problems (11N75)
Related Items (16)
Families of elliptic curves with trivial Mordell-Weil group ⋮ Mean square values of Hecke \(L\)-series formed with \(r\)-th order characters ⋮ Determination of a \(\text{GL}_2\) automorphic cuspidal representation by twists of critical \(L\)-values ⋮ Entirety of certain cuspidal Eisenstein series on Kac-Moody groups ⋮ Weyl group multiple Dirichlet series constructed from quadratic characters ⋮ Elliptic curves, \(L\)-functions, and Hilbert's tenth problem ⋮ On holomorphic theta functions associated with rank \(r\) isotropic discrete subgroups ⋮ Mean value of real Dirichlet characters using a double Dirichlet series ⋮ Sums of twisted GL(2) \(L\)-functions over function fields. ⋮ Eisenstein series on rank 2 hyperbolic Kac-Moody groups ⋮ Geometric non-vanishing ⋮ Affine Weyl Group Multiple Dirichlet Series: Type $\tilde{A}$ ⋮ Cubic twists of \(\text{GL}(2)\) automorphic \(L\)-functions ⋮ Mean values of biquadratic zeta functions ⋮ Functional equations for Hecke-Maass series ⋮ On the Local Coefficients Matrix for Coverings of $$\mathrm{SL}_2$$SL2
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