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arXiv:0907.3560 [math.NT]AbstractReferencesReviewsResources

Distribution modulo 1 and the lexicographic world

Jean-Paul Allouche, Amy Glen

Published 2009-07-21, updated 2011-01-31Version 2

We give a complete description of the minimal intervals containing all fractional parts $\{\xi 2^n\}$, for some positive real number $\xi$, and for all $n \geq 0$.

Journal: Annales des Sciences Math\'ematiques du Qu\'ebec, 33 (2009), 125-143
Categories: math.NT, math.CO
Subjects: 11J71, 37B10, 68R15
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