On the Fürstenberg closure of a class of binary recurrences |
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| Authors: | Kevin A Broughan Florian Luca |
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| Institution: | a Department of Mathematics, University of Waikato, Private Bag 3105, Hamilton, New Zealand
b Instituto de Matemáticas, Universidad Nacional Autonoma de México, C.P. 58089, Morelia, Michoacán, Mexico |
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| Abstract: | In this paper, we determine the closure in the full topology over Z of the set  , where (un)n?0 is a nondegenerate binary recurrent sequence with integer coefficients whose characteristic roots are quadratic units. This generalizes the result for the case when un=Fn was the nth Fibonacci number. |
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| Keywords: | 1B39 11B50 |
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