A NOTE ON LACUNARY POWER SERIES WITH RATIONAL COEFFICIENTS

DOI10.1017/S0004972715001239zbMath1338.11062OpenAlexW2343704163MaRDI QIDQ2814335

E. Silva, Diego Marques, Josimar Ramirez

Publication date: 21 June 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715001239

zbMATH Keywords

Liouville numberslacunary power series

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Measures of irrationality and of transcendence (11J82)

Related Items (1)

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

Cites Work

• On transcendental analytic functions mapping an uncountable class of \(U\)-numbers into Liouville numbers
• A positive answer for a question proposed by K. Mahler
• Some suggestions for further research
• Arithmetic properties of lacunary power series with integral coefficients

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