Distribution modulo 1 and the lexicographic world

Details Distribution modulo 1 and the lexicographic world Distribution modulo 1 and the lexicographic world

2009-07-21

arxiv.org/abs/0907.3560v2

Annales des Sciences Math\'ematiques du Qu\'ebec, 33 (2009), 125-143

Mathematics

Number Theory

Scientific paper

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 $n \geq 0$.

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