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Algebraic independence of the values of certain series by Mahler's method

โœ Scribed by Paul-Georg Becker


Publisher
Springer Vienna
Year
1992
Tongue
English
Weight
640 KB
Volume
114
Category
Article
ISSN
0026-9255

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Algebraic independence of the values of
โœ Taka-aki Tanaka ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 239 KB

## It is proved that the function Yรฐzรž 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 fR k g kX0 is the generalized Fibonacci numbers.