ON TRANSCENDENTAL CONTINUED FRACTIONS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS

Can B., KEKEÇ G.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.105, sa.3, ss.392-403, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 105 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1017/s0004972721000800
  • 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.392-403
  • Anahtar Kelimeler: Mahler's classification of transcendental formal power series over a finite field, U-number, continued fraction, transcendence measure, APPROXIMATION
  • İstanbul Üniversitesi Adresli: Evet

Özet

In the field of formal power series over a finite field, we prove a result which enables us to construct explicit examples of U-m-numbers by using continued fraction expansions of algebraic formal power series of degree m > 1.