Title of article
ON THE VALUES OF SOME GENERALIZED LACUNARY POWER SERIES WITH ALGEBRAIC COEFFICIENTS FOR LIOUVILLE NUMBER ARGUMENTS
Author/Authors
Kekec, Gulcan Istanbul University - Faculty of Science, Department of Mathematics, Vezneciler, Istanbul, Turkey
Pages
12
From page
691
To page
702
Abstract
In this work, it is shown that under certain conditions, the values of some generalized lacunary power series with algebraic coefficients from a certain algebraic number field K of degree m for Liouville number arguments belong to either the algebraic number field K or U^2 i=1^ui in Mahler’s classification of the complex numbers.
Keywords
Generalized lacunary power series , U , numbers in Mahler’s classification.
Journal title
Hacettepe Journal Of Mathematics and Statistics
Serial Year
2011
Journal title
Hacettepe Journal Of Mathematics and Statistics
Record number
2650994
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