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$U$-NUMBERS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 101 / Issue 2 / April 2020
- Published online by Cambridge University Press:
- 29 July 2019, pp. 218-225
- Print publication:
- April 2020
-
- Article
- Export citation
-
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.
