- Hacettepe Journal of Mathematics and Statistics
- Vol: 40 Issue: 5
- ON THE VALUES OF SOME GENERALIZED LACUNARY POWER SERIES WITH ALGEBRAIC COEFFICIENTS FOR LIOUVILLE NU...
ON THE VALUES OF SOME GENERALIZED LACUNARY POWER SERIES WITH ALGEBRAIC COEFFICIENTS FOR LIOUVILLE NUMBER ARGUMENTS
Authors : Gülcan Kekeç
Pages : 691-702
View : 12 | Download : 4
Publication Date : 2011-05-01
Article Type : Research
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 Sm i=1 Ui in Mahler’s classification of the complex numbers.Keywords : Generalized lacunary power series, U-numbers in Mahler’s classification