Algebraic independence of the values of Mahler functions associated with a certain continued fraction expansion |
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| Authors: | Taka-aki Tanaka |
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| Affiliation: | Department of Mathematics, Keio University, Hiyoshi 3-14-1, Kohoku-ku, Yokohama 223-8522, Japan |
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| 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. |
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| Keywords: | 11J81 |
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