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

ÇALIŞKAN F.

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, cilt.74, sa.7, ss.957-963, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 74 Sayı: 7
  • Basım Tarihi: 2021
  • Doi Numarası: 10.7546/crabs.2021.07.01
  • Dergi Adı: COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
  • Sayfa Sayıları: ss.957-963
  • İstanbul Üniversitesi Adresli: Evet

Özet

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].