scientific article; zbMATH DE number 714244
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Publication:4321409
zbMath0828.11043MaRDI QIDQ4321409
Publication date: 7 January 1996
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functional equationsDirichlet seriesmeromorphic functionszeta-functionsCramér's theoremanalogues of the Riemann-Weil explicit formulaeregularized producttheta inversion formulae
Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Dirichlet series, exponential series and other series in one complex variable (30B50) Special classes of entire functions of one complex variable and growth estimates (30D15)
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Explicit formula for the hyperbolic scattering determinant ⋮ Convergence theorems for relative spectral functions on hyperbolic Riemann surfaces of finite volume ⋮ Extension of analytic number theory and the theory of regularized harmonic series from Dirichlet series to Bessel series ⋮ Zeta functions for the Riemann zeros. ⋮ Asymptotic behavior of the Selberg zeta functions for degenerating families of hyperbolic manifolds ⋮ Bounds for special values of Selberg zeta functions of Riemann surfaces ⋮ On Li's criterion for the Riemann hypothesis for the Selberg class ⋮ Guinand's theorem and functional equations for the Cramér functions ⋮ On Li's coefficients for the Rankin-Selberg \(L\)-functions ⋮ On the Selberg orthogonality for automorphic \(L\)-functions ⋮ Zeta Functions Over Zeros of General Zeta and L-Functions ⋮ Upper bounds of some special zeros for the Rankin-Selberg \(L\)-function ⋮ Bounding the order of the central zero of a zeta function over a function field ⋮ On the modified Li criterion for a certain class of \(L\)-functions ⋮ On the error term of the prime geodesic theorem
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