-NUMBERS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS

Gülcan Kekeç · Bulletin of the Australian Mathematical Society · 2019

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.

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