ON MAHLER'S CLASSIFICATION OF FORMAL POWER SERIES OVER A FINITE FIELD
MATHEMATICA SLOVACA, cilt.72, sa.1, ss.265-273, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 72 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.1515/ms-2022-0017
- Dergi Adı: MATHEMATICA SLOVACA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.265-273
- Anahtar Kelimeler: Mahler's classification of formal power series over a finite field, U-number, transcendence measure, T-NUMBERS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Üniversitesi Adresli: Evet
Özet
Let K be a finite field, K(x) be the field of rational functions in x over K and K be the field of formal power series over K. We show that under certain conditions integral combinations with algebraic formal power series coefficients of a U-1-number in K are U-m-numbers in K, where m is the degree of the algebraic extension of K(x), determined by these algebraic formal power series coefficients.