Nevanlinna theory and algebraic values of certain meromorphic functions

DOI10.1142/S1793042120500852zbMath1459.11155OpenAlexW3010932436MaRDI QIDQ3303491

Taboka P. Chalebgwa

Publication date: 11 August 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042120500852

zbMATH Keywords

meromorphic functionsalgebraic pointsbounded height

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Transcendence theory of other special functions (11J91) Algebraic number theory: global fields (11R99)

Cites Work

• Rational points of Euler's Gamma function
• Rational values of the Riemann zeta function
• On the value distribution theory of elliptic functions
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• A modification of the Nevanlinna theory
• Geometric postulation of a smooth function and the number of rational points
• On the number of algebraic points where an analytic transcendental function takes algebraic values
• The number of integral points on arcs and ovals
• Auxiliary Polynomials in Number Theory
• Rational Values of Weierstrass Zeta Functions
• Rational Values of Entire Functions of Finite Order
• Algebraic Values of Certain Analytic Functions
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