On some new properties of the gamma function and the Riemann zeta function

DOI10.1002/mana.200310078zbMath1028.33012OpenAlexW1916929798MaRDI QIDQ4434462

Chung-Chun Yang, Liang-Wen Liao

Publication date: 10 November 2003

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310078

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Other functions coming from differential, difference and integral equations (33E30)

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Curriculum Vitae of Chung-Chun Yang ⋮ On algebraic differential properties of the Riemann ζ-function and the Euler Γ-function ⋮ Fixed points of the Riemann zeta function and Dirichlet series ⋮ Algebraic differential independence concerning the Euler \(\Gamma\)-function and Dirichlet series ⋮ On the differential and difference independence of \(\Gamma\) and \(\zeta\) ⋮ Algebraic differential equations with functional coefficients concerning \(\zeta\) and \(\Gamma\) ⋮ On algebraic differential equations concerning the Riemann-zeta function and the Euler-gamma function ⋮ Difference independence of the Euler gamma function ⋮ On the algebraic differential independence of \(\Gamma\) and \(\zeta\) ⋮ Uniqueness results on L-functions and certain difference-differential polynomials ⋮ A further study on value distribution of the Riemann zeta‐function ⋮ AN ANSWER TO A QUESTION ON VALUE DISTRIBUTION OF THE RIEMANN ZETA-FUNCTION ⋮ Meromorphic functions with slow growth of Nevanlinna characteristics and rapid growth of spherical derivative ⋮ Uniqueness theorems for \(L\)-functions in the extended Selberg class ⋮ Selberg zeta-function associated to compact Riemann surface is prime ⋮ A result on value distribution of L-functions ⋮ Value distributions of \(\zeta\) and \(\Gamma \), plus some related problems ⋮ HYPERTRANSCENDENCE OF -FUNCTIONS FOR ⋮ On algebraic differential equations of gamma function and Riemann zeta function ⋮ Results on value distribution of L -functions