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Algebraic independence of certain numbers connected with the exponential and elliptic functions

โœ Scribed by A. A. Shmelev

Book ID
112478438
Publisher
Springer
Year
1981
Tongue
English
Weight
317 KB
Volume
33
Category
Article
ISSN
0041-5995

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๐Ÿ“œ SIMILAR VOLUMES

Algebraic independence of the values of
Algebraic independence of the values of Mahler functions associated with a certain continued fraction expansion
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.