On the algebraic independence of certain Mahlerʼs U-numbers

We examine the algebraic independence over Q of certain Mahlerʼs U-numbers appearing as the values of certain generalized lacunary power series at non-zero algebraic number arguments.

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Bibliographic Details
Published inElectronic notes in discrete mathematics Vol. 43; pp. 103 - 105
Main Author Kekeç, Gülcan
Format Journal Article
LanguageEnglish
Published Elsevier B.V 05.09.2013
Subjects
Algebraic independence
Lacunary power series
Mahlerʼs U-number
Lacunary power series
Mahlerʼs U-number
Algebraic independence
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Summary:We examine the algebraic independence over Q of certain Mahlerʼs U-numbers appearing as the values of certain generalized lacunary power series at non-zero algebraic number arguments.
ISSN:1571-0653
1571-0653
DOI:10.1016/j.endm.2013.07.017