Rational Values of Entire Functions of Finite Order

DOI10.1093/imrn/rnv052zbMath1329.30015OpenAlexW2023043008MaRDI QIDQ3459119

Gareth O. Jones, Gareth J. Boxall

Publication date: 30 December 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnv052

zbMATH Keywords

entire functions of finite orderrational values

Mathematics Subject Classification ID

Special classes of entire functions of one complex variable and growth estimates (30D15)

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Rational values of transcendental functions and arithmetic dynamics ⋮ ALGEBRAIC VALUES OF CERTAIN ANALYTIC FUNCTIONS DEFINED BY A CANONICAL PRODUCT ⋮ Algebraic Values of Entire Functions with Extremal Growth Orders: An Extension of a Theorem of Boxall and Jones ⋮ Zeroes and rational points of analytic functions ⋮ Nevanlinna theory and algebraic values of certain meromorphic functions ⋮ On a stronger version of a question proposed by K. Mahler ⋮ Counting rational points and lower bounds for Galois orbits ⋮ On algebraic values of Weierstrass \(\sigma \)-functions

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