On the exceptional set of transcendental functions with integer coefficients in a prescribed set: the problems A and C of Mahler

DOI10.1016/j.jnt.2020.07.007zbMath1452.11086OpenAlexW3048833467MaRDI QIDQ2004943

Diego Marques, Carlos Gustavo T.de A. Moreira

Publication date: 7 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.07.007

zbMATH Keywords

transcendental functionMahler problem

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Transcendence theory of other special functions (11J91) Entire functions of one complex variable (general theory) (30D20) Transcendence (general theory) (11J81) Distribution of primes (11N05)

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• Entire functions mapping countable dense subsets of the reals onto each other monotonically
• On exceptional sets of transcendental functions with integer coefficients: solution of a problem of Mahler

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