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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Bibliographic Details
Published inBulletin of the Australian Mathematical Society Vol. 101; no. 2; pp. 218 - 225
Main Author KEKEÇ, GÜLCAN
Format Journal Article
LanguageEnglish
Published Cambridge Cambridge University Press 01.04.2020
Subjects
Algebra
Classification
Fields (mathematics)
Numbers
Power series
Series (mathematics)
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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