On the prime number theorem for the Selberg class

zbMath1126.11334MaRDI QIDQ1401910

Jerzy Kaczorowski, Alberto Perelli

Publication date: 19 August 2003

Published in: Archiv der Mathematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41)

Related Items (17)

Zeros of derivatives of 𝐿-functions in the Selberg class on ℜ(𝑠)<1/2 ⋮ An approach of generalised Riemann hypothesis through sequences ⋮ The Li–Sekatskii coefficients for the Selberg class ⋮ On some complex explicit formulæ connected with Dirichlet coefficients of inverses of special type L-functions from the Selberg class ⋮ Joint extreme values of \(L\)-functions ⋮ ON FUNDAMENTAL FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS OF DEGREE 2 ⋮ On asymptotic behavior of Dirichlet inverse ⋮ Some remarks on the convergence of the Dirichlet series of \(L\)-functions and related questions ⋮ On Li's criterion for the Riemann hypothesis for the Selberg class ⋮ Ω-estimates related to irreducible algebraic integers ⋮ On properties of certain special zeros of functions in the Selberg class ⋮ On certain mean values of logarithmic derivatives of \(L\)-functions and the related density functions ⋮ Chebyshev’s bias for analyticL-functions ⋮ Hamiltonians arising from \(L\)-functions in the Selberg class ⋮ ON LITTLEWOOD’S PROOF OF THE PRIME NUMBER THEOREM ⋮ On \(M\)-functions for the value-distributions of \(L\)-functions ⋮ LARGE VALUES OF L-FUNCTIONS ON THE 1-LINE

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