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Algebraic independence of Mahler functions

✍ Scribed by B. Greuel

Publisher
Springer
Year
2000
Tongue
English
Weight
61 KB
Volume
75
Category
Article
ISSN
0003-889X

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Algebraic independence of the values of
Algebraic independence of the values of Mahler functions associated with a certain continued fraction expansion
✍ Taka-aki Tanaka πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 239 KB

## It is proved that the function YðzÞ 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.