On transcendental formal power series over finite fields

KEKEÇ G.

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, cilt.63, sa.4, ss.349-357, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 4
  • Basım Tarihi: 2020
  • Dergi Adı: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.349-357
  • Anahtar Kelimeler: Bundschuh's classification of transcendental formal power series, over finite fields, U-number, lacunary power series, transcendence measure, ALGEBRAIC COEFFICIENTS
  • İstanbul Üniversitesi Adresli: Evet

Özet

Let K be a finite field and K(x) be the quotient field of the ring of polynomials in x with coefficients in K. In the field K of formal power series over K, we treat certain lacunary power series with algebraic coefficients in a finite extension of K(x). We show that the values of these series at certain U-1-number arguments are either algebraic over K(x) or U-numbers.