NUMBERS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS

• Published in: Bulletin of the Australian Mathematical Society Vol. 101; no. 2; pp. 218 - 225
• Main Author: KEKEÇ, GÜLCAN
• Format: Journal Article
• Language: English
• Published: Cambridge Cambridge University Press 01.04.2020
• Subjects: Algebra; Classification; Fields (mathematics); Numbers; Power series; Series (mathematics)

In the field $\mathbb{K}$ of formal power series over a finite field $K$ , we consider some lacunary power series with algebraic coefficients in a finite extension of $K(x)$ . We show that the values of these series at nonzero algebraic arguments in $\mathbb{K}$ are $U$ -numbers.