NUMBERS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS
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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Published in | Bulletin of the Australian Mathematical Society Vol. 101; no. 2; pp. 218 - 225 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Cambridge
Cambridge University Press
01.04.2020
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Subjects | |
Online Access | Get full text |
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Summary: | 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. |
---|---|
ISSN: | 0004-9727 1755-1633 |
DOI: | 10.1017/S0004972719000832 |