On some power series with algebraic coefficients and Liouville numbers

DOI10.1186/1029-242X-2013-178zbMath1283.11101WikidataQ59292872 ScholiaQ59292872MaRDI QIDQ394654

Gül Karadeniz Gözeri

Publication date: 27 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

Diophantine approximationpower seriestranscendental numberLiouville number

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Diophantine inequalities (11J25) Transcendence (general theory) (11J81) Irrationality; linear independence over a field (11J72)

Related Items (1)

Transcendence of some power series for Liouville number arguments

Cites Work

• Transcendence of multi-indexed infinite series
• Certain Liouville series
• A theorem on transcendence of infinite series. II
• Transcendence of a fast converging series of rational numbers
• On the transcendence of some infinite sums
• ON THE TRANSCENDENCE OF INFINITE SUMS OF VALUES OF RATIONAL FUNCTIONS
• ON THE TRANSCENDENCE OF CERTAIN INFINITE SERIES
• Über die Mahlersche Klasseneinteilung der transzendenten Zahlen und die Approximation komplexer Zahlen durch algebraische Zahlen
• Area integral characterization of \(\mathcal M\)-harmonic Hardy spaces on the unit ball

This page was built for publication: On some power series with algebraic coefficients and Liouville numbers