SOME GENERALIZED LACUNARY POWER SERIES WITH ALGEBRAIC COEFFICIENTS FOR MAHLER'S $U-$NUMBER ARGUMENTS
نویسندگان
چکیده
منابع مشابه
Some Generalized Lacunary Power Series with Algebraic Coefficients for Mahler’s U−number Arguments
In this work, we show that under certain conditions the values of some generalized lacunary power series with algebraic coefficients for Mahler’s Um−number arguments belong to either a certain algebraic number field or ⋃t i=1 Ui in Mahler’s classification of the complex numbers, where t denotes a positive rational integer dependent on the coefficients of the given series and on the argument. Mo...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2014
ISSN: 1027-5487
DOI: 10.11650/tjm.18.2014.2285