On some lacunary power series with algebraic coefficients and Mahler's \(U\)-numbers

DOI10.1016/J.AMC.2011.03.063zbMath1225.30002OpenAlexW1973422417MaRDI QIDQ648221

Gülcan Kekeç

Publication date: 22 November 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.063

zbMATH Keywords

Liouville numberMahler's \(U\)-numbergeneralized lacunary power seriesMahler's and Koksma's classification of complex numbers

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Transcendence (general theory) (11J81) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Cites Work

• Über arithmetische Eigenschaften von Lückenreihen mit algebraischen Koeffizienten und algebraischem Argument
• Approximation mit algebraischen Zahlen beschränkten Grades.
• Über die Mahlersche Klasseneinteilung der transzendenten Zahlen und die Approximation komplexer Zahlen durch algebraische Zahlen
• On Mahler's U -Numbers
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