On the distribution of the \(a\)-points of a Selberg class \(L\)-function modulo one

DOI10.1007/s00013-015-0757-2zbMath1320.11080OpenAlexW2036338930MaRDI QIDQ2346311

Kamel Mazhouda, Med-Taïb Jakhlouti, Jörn Steuding

Publication date: 1 June 2015

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

Full work available at URL: https://doi.org/10.1007/s00013-015-0757-2

zbMATH Keywords

Selberg classvalue-distribution\(a\)-points

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (1)

On the vertical distribution of values of L-functions in the Selberg class

Cites Work

• Mean values of the Riemann zeta-function and its derivatives
• Value distribution of \(L\)-functions
• A note on the degree conjecture for the Selberg class
• On the roots of the equation \(\zeta (s)=a\)
• Explicit formulas for the pair correlation of zeros of functions in the Selberg class
• One Hundred Years Uniform Distribution Modulo One and Recent Applications to Riemann’s Zeta-Function
• Almost All Roots of ζ( s ) = a Are Arbitrarily Close to σ = 1/2
• The Riemann Zeta function and coin tossing.
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