Nonvanishing of \(L\)-values and the Weyl law
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Publication:5953608
DOI10.2307/3062104zbMath1003.11019OpenAlexW2075592163MaRDI QIDQ5953608
Publication date: 20 October 2002
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/3062104
Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)
Related Items (20)
Mollification and non-vanishing of automorphic \(L\)-functions on \(\mathrm{GL}(3)\) ⋮ Nonvanishing of central \(L\)-values of Maass forms ⋮ Deformations of Maass forms ⋮ On zeros of the derivative of the three-dimensional Selberg zeta-function ⋮ DISSOLVING OF CUSP FORMS: HIGHER‐ORDER FERMI'S GOLDEN RULES ⋮ Nonvanishing of the central \(L\)-values with large weight ⋮ Simultaneous nonvanishing of automorphic \(L\)-functions at the central point ⋮ Special values of symmetric power \(L\)-functions and Hecke eigenvalues ⋮ Quantum limits of Eisenstein series in ℍ³ ⋮ Quantitative non-vanishing results on L-functions ⋮ Sato-Tate equidistribution for families of Hecke-Maass forms on \(\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)\) ⋮ The zero-free region of the derivative of Selberg zeta functions ⋮ Spectral asymptotics for arithmetic quotients of \(\text{SL}(n,{\mathbb R})/\text{SO}(n)\) ⋮ On Selberg's small eigenvalue conjecture and residual eigenvalues ⋮ Spectra of hyperbolic surfaces ⋮ The Relative Trace Formula in Analytic Number Theory ⋮ Relationship between the discrete and resonance spectrum for the Laplace operator on a noncompact hyperbolic Riemann surface ⋮ On the relative distribution of eigenvalues of exceptional Hecke operators and automorphic Laplacians ⋮ Average values of symmetric square \(L\)-functions at the edge of the critical strip ⋮ Higher Order Deformations of Hyperbolic Spectra
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