scientific article; zbMATH DE number 1210346
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Publication:4213361
zbMath0905.11037MaRDI QIDQ4213361
Publication date: 21 January 1999
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Laplace transformfunctional equationRiemann zeta-functionspectral theoryDirichlet seriesmean valuesgeneralized additive divisor problem
(zeta (s)) and (L(s, chi)) (11M06) Laplace transform (44A10) Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Related Items (14)
A note on the mean value of the zeta and \(L\)-functions. XIV ⋮ The Mean Values of the Riemann Zeta-Function on the Critical Line ⋮ Moments of the Riemann zeta function and Eisenstein series. II ⋮ SUBCONVEXITY BOUND FOR GL(2) L‐FUNCTIONS: T ‐ASPECT ⋮ THE LAPLACE TRANSFORM OF DIRICHLET 𝐿-FUNCTIONS ⋮ GL(2) Weyl bound via a multiplicative character delta method ⋮ A note on the mean value of the zeta and \(L\)-functions. IX ⋮ Subconvexity bound for ${\rm GL}(2)$ $L$-functions: $t$-aspect ⋮ Weyl bound for GL(2) in \(t\)-aspect via a simple delta method ⋮ Sums of the additive divisor problem type and the inner product method ⋮ Integral moments of automorphic L-functions ⋮ Limit theorems for the Laplace transform of the Riemann zeta-function ⋮ Atkinson's formula for the mean square of \(\zeta (s)\) with an explicit error term ⋮ Integral mean values of modular \(L\)-functions
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