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

Kekec G.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.3, ss.866-870, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 218 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.amc.2011.03.063
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.866-870
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.