On Mahler's Classification of Formal Power Series Over a Finite Field
Let be a finite field, ) be the field of rational functions in over and be the field of formal power series over . We show that under certain conditions integral combinations with algebraic formal power series coefficients of a -number in are -numbers in , where is the degree of the algebraic extens...
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Published in | Mathematica Slovaca Vol. 72; no. 1; pp. 265 - 273 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Heidelberg
Sciendo
16.02.2022
Walter de Gruyter GmbH |
Subjects | |
Online Access | Get full text |
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Summary: | Let
be a finite field,
) be the field of rational functions in
over
and
be the field of formal power series over
. We show that under certain conditions integral combinations with algebraic formal power series coefficients of a
-number in
are
-numbers in
, where
is the degree of the algebraic extension of
), determined by these algebraic formal power series coefficients. |
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ISSN: | 1337-2211 0139-9918 1337-2211 |
DOI: | 10.1515/ms-2022-0017 |