LIOUVILLE NUMBERS AND LACUNARY POWER SERIES IN THE FIELD OF FORMAL LAURENT SERIES

ÇALIŞKAN F.

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, vol.74, no.7, pp.957-963, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 74 Issue: 7
  • Publication Date: 2021
  • Doi Number: 10.7546/crabs.2021.07.01
  • Journal Name: COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
  • Page Numbers: pp.957-963
  • Istanbul University Affiliated: Yes

Abstract

In this paper, we consider some lacunary power series in the field K of formal Laurent series over a finite field F. We proved that the values of certain lacunary power series for the arguments from the set of Liouville numbers in the field K are either in F(x) or Liouville numbers, where F(x) is the quotient field of the polynomial ring F[x].