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A limit theorem for the arguments of zeta-functions of certain cusp forms

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Publication:996740
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DOI10.1007/s10440-007-9107-0zbMath1201.11050OpenAlexW2080400223MaRDI QIDQ996740

V. Garbaliauskienė, R. Ivanauskaitė, J. Genys

Publication date: 19 July 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9107-0


zbMATH Keywords

cusp formshalf normal distribution function


Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)


Related Items (2)

A half-normal distribution scheme for generating functions ⋮ On the argument of zeta-functions of certain cusp forms near the critical line




Cites Work

  • On the Riemann zeta-function -- mean value theorems and the distribution of \(|S(T)|\)
  • La conjecture de Weil. I
  • An \(\Omega\)-result for the coefficients of cusp forms
  • A probabilistic study on the value-distribution of Dirichlet series attached to certain cusp forms
  • On Hecke L-functions associated with cusp forms
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