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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Bibliographic Details
Published inMathematica Slovaca Vol. 72; no. 1; pp. 265 - 273
Main Author Kekeç, Gülcan
Format Journal Article
LanguageEnglish
Published Heidelberg Sciendo 16.02.2022
Walter de Gruyter GmbH
Subjects
Algebra
Committees
Episcopal churches
Fields (mathematics)
Mahler’s classification of formal power series over a finite field
Mathematical analysis
number
Power series
Primary 11J61
Rational functions
Secondary 11J82
transcendence measure
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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.
ISSN:1337-2211
0139-9918
1337-2211
DOI:10.1515/ms-2022-0017