ON THE VALUES OF SOME POWER SERIES IN THE FIELD OF FORMAL LAURENT SERIES OVER A FINITE FIELD
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, cilt.69, sa.12, ss.1549-1556, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 69 Sayı: 12
- Basım Tarihi: 2016
- Dergi Adı: COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1549-1556
- Anahtar Kelimeler: formal Laurent series, finite fields, non-archimedean absolute value, liouville numbers, TRANSCENDENCE-MEASURES, APPROXIMATION
- İstanbul Üniversitesi Adresli: Evet
Özet
In 1932, Mahler introduced a classification of transcendental numbers that pertained to both complex and p-adic numbers. Bundschuh then extended Mahler's classification so that it included the field of formal Laurent series over a finite field. Herein, we show that the values of some power series in field of formal Laurent series over a finite field are either Liouville numbers, or they can be included in the quotient field of the polynomial ring on the finite field for Liouville number arguments under certain conditions.