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


Kekec G.

APPLIED MATHEMATICS AND COMPUTATION, vol.218, no.3, pp.866-870, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 218 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.1016/j.amc.2011.03.063
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.866-870
  • Istanbul University Affiliated: Yes

Abstract

In this work, we consider some generalized lacunary power series with algebraic coefficients from a certain algebraic number field K of degree m and show that under some conditions these series take values belonging to either the algebraic number field K or U(i-1)(m) U(i) in Mahler's classification of complex numbers for some Liouville number arguments. (C) 2011 Elsevier Inc. All rights reserved.