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$U$ -NUMBERS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS

  • GÜLCAN KEKEÇ (a1)

Abstract

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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[1] Braune, E., ‘Über arithmetische Eigenschaften von Lückenreihen mit algebraischen Koeffizienten und algebraischem Argument’, Monatsh. Math. 84 (1977), 111.
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$U$ -NUMBERS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS

  • GÜLCAN KEKEÇ (a1)

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