U-NUMBERS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS

KEKEÇ G.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, vol.101, no.2, pp.218-225, 2020 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 101 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.1017/s0004972719000832
  • Journal Name: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.218-225
  • Keywords: Bundschuh's classification of transcendental formal power series over finite fields, U-number, lacunary power series, transcendence measure
  • Istanbul University Affiliated: Yes

Abstract

In the field K of formal power series over a finite field K, we consider some lacunary power series with algebraic coefficients in a finite extension of K(x). We show that the values of these series at nonzero algebraic arguments in K are U-numbers.