Title of article
Algebraic independence of the values of Mahler functions associated with a certain continued fraction expansion
Author/Authors
Takaaki Tanaka، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
11
From page
38
To page
48
Abstract
It is proved that the function , which can be expressed as a certain continued fraction, takes algebraically independent values at any distinct nonzero algebraic numbers inside the unit circle if the sequence {Rk}k 0 is the generalized Fibonacci numbers.
Keywords
continued fractions , algebraic independence , Fibonacci numbers , Mahler functions
Journal title
Journal of Number Theory
Serial Year
2004
Journal title
Journal of Number Theory
Record number
715555
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