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

Can, Busra; KEKEÇ, GÜLCAN

doi:10.1017/s0004972721000800

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, Scopus)

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.