A note on transcendental analytic functions with rational coefficients mapping \(\mathbb{Q}\) into itself

DOI10.3792/PJAA.100.009MaRDI QIDQ6620064

C. Moreira, Pavel Trojovský, Diego Marques, Jean Lelis

Publication date: 16 October 2024

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

zbMATH Keywords

rational functionstranscendental functionsLiouville numbersMahler's questionMaillet's property

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Homogeneous approximation to one number (11J04)

Cites Work

• Introduction à la théorie des nombres transcendants et des propriétés arithmétiques des fonctions.
• On transcendental entire functions mapping \(\mathbb{Q}\) into itself
• A positive answer for a question proposed by K. Mahler
• A note on lacunary power series with rational coefficients
• Some suggestions for further research
• ON SERIES OF POLYNOMIALS

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