On transcendental entire functions mapping \(\mathbb{Q}\) into itself

DOI10.1016/J.JNT.2019.06.018zbMath1451.11079OpenAlexW2965342179MaRDI QIDQ2326487

Diego Marques, Jean Lelis

Publication date: 7 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.06.018

zbMATH Keywords

Liouville numberstranscendental entire functionssimple setMahler's questionpolynomial expansions of analytic functions

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Representations of entire functions of one complex variable by series and integrals (30D10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

ON p-ADIC INTERPOLATION IN TWO OF MAHLER’S PROBLEMS

Cites Work

• Unnamed Item
• A positive answer for a question proposed by K. Mahler
• A NOTE ON LACUNARY POWER SERIES WITH RATIONAL COEFFICIENTS
• Some suggestions for further research
• A Note on Transcendental Power Series Mapping the Set of Rational Numbers into Itself
• The Lower Order of Integral Functions
• ON SERIES OF POLYNOMIALS

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