Some arithmetic properties of the values of entire functions of finite order and their first derivatives

DOI10.1070/SM9145zbMath1432.11099MaRDI QIDQ5216875

A. Ya. Yanchenko

Publication date: 20 February 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

derivativeexponentialsentire function of finite orderalgebraic values

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (2)

On entire solutions of a class of second-order algebraic differential equations ⋮ Entire solutions of a class of nonlinear algebraic differential equations

Cites Work

• Classical diophantine equations
• A generalization of Gelfond's and Waldschmidt's theorems on integer-valued entire functions
• Sur un théorème de Gel'fond–Selberg et une conjecture de Bundschuh–Shiokawa
• ESTIMATE FOR A LINEAR FORM OF LOGARITHMS OF ALGEBRAIC NUMBERS
• Simultaneous approximation of the periods of an elliptic function by algebraic numbers
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