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

KEKEÇ G.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.101, sa.2, ss.218-225, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 101 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1017/s0004972719000832
  • Dergi Adı: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.218-225
  • Anahtar Kelimeler: Bundschuh's classification of transcendental formal power series over finite fields, U-number, lacunary power series, transcendence measure
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.