We show that if is an even integer then for every the smallest limit point of the sequence does not exceed and this bound is best possible in the sense that for some this
constant cannot be improved. Similar (best possible) bound is also obtained for the smallest limit point of the sequence , where satisfies the second order linear recurrence with
satisfying . For the Fibonacci sequence our result implies that , and e.g., in case when is an odd integer, and it shows that .
Distribution of some quadratic linear recurrence sequences modulo 1
Dubickas, Artūras
Abstract
carpathian_2014_30_1_079_086_abstractAdditional Information
Author(s) | Dubickas, Artūras |
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