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arxiv: 0907.3560 · v2 · pith:BVN74P64new · submitted 2009-07-21 · 🧮 math.NT · math.CO

Distribution modulo 1 and the lexicographic world

classification 🧮 math.NT math.CO
keywords completecontainingdescriptiondistributionfractionalgiveintervalslexicographic
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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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