The Nevanlinna functions of the Riemann zeta-function

DOI10.1006/jmaa.1999.6343zbMath0924.11071OpenAlexW1970940454MaRDI QIDQ1289064

Zhuan Ye

Publication date: 9 November 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6343

zbMATH Keywords

Riemann zeta-functionNevanlinna characteristic functionNevanlinna counting functionsNevanlinna deficiencies

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items (13)

On algebraic differential properties of the Riemann ζ-function and the Euler Γ-function ⋮ Fixed points of the Riemann zeta function and Dirichlet series ⋮ LINEAR COMBINATIONS OF HURWITZ ZETA-FUNCTIONS ⋮ On algebraic differential equations concerning the Riemann-zeta function and the Euler-gamma function ⋮ Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory ⋮ A further study on value distribution of the Riemann zeta‐function ⋮ On difference Riccati equations and second order linear difference equations ⋮ Algebraic differential independence regarding the Riemann \(\boldsymbol{\zeta}\)-function and the Euler \(\boldsymbol{\Gamma}\)-function ⋮ AN ANSWER TO A QUESTION ON VALUE DISTRIBUTION OF THE RIEMANN ZETA-FUNCTION ⋮ On the roots of the equation \(\zeta (s)=a\) ⋮ The Lang-type of the Riemann zeta-function ⋮ Value distributions of \(\zeta\) and \(\Gamma \), plus some related problems ⋮ On uniqueness in the extended Selberg class of Dirichlet series

Cites Work

• On Nevanlinna's error terms
• On Nevanlinna's second main theorem in projective space
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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