An ergodic value distribution of certain meromorphic functions

DOI10.1016/j.jmaa.2016.07.064zbMath1420.30007arXiv1512.04169OpenAlexW2209735586MaRDI QIDQ323789

Ade Irma Suriajaya, Jung Hun Lee

Publication date: 10 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04169

zbMATH Keywords

derivative\(L\)-functionzeta functionBirkhoff's ergodic theoremLindelöf hypothesis

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (4)

On calculation of the exact Lyapunov exponent of affine Boole transformations ⋮ On good universality and the Riemann hypothesis ⋮ The mean-value of meromorphic functions with respect to a generalized Boolean transformation ⋮ A central limit theorem for the Birkhoff sum of the Riemann zeta-function over a Boolean type transformation

Cites Work

• Euler's constants for the Selberg and the Dedekind zeta functions
• Some constants associated with the Riemann zeta-function
• The ergodic infinite measure preserving transformation of Boole
• Dirichlet series with periodic coefficients
• Sampling the Lindelöf hypothesis for Dirichlet \(L\)-functions by the Cauchy random walk
• Sampling the Lindelöf Hypothesis with the Cauchy random walk
• A Generalization of A Theorem of Ayoub and Chowla
• Ergodic Theory
• On the Hurwitz zeta-function
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