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arxiv: 1806.03559 · v2 · pith:TP6QDKFKnew · submitted 2018-06-10 · 🧮 math.NT

On the Uniformity of (3/2)^n Modulo 1

classification 🧮 math.NT
keywords modulodistributeddistributionsequenceuniformlyagreealgorithmanalyze
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It has been conjectured that the sequence $(3/2)^n$ modulo $1$ is uniformly distributed. The distribution of this sequence is signifcant in relation to unsolved problems in number theory including the Collatz conjecture. In this paper, we describe an algorithm to compute $(3/2)^n$ modulo $1$ to $n = 10^8$. We then statistically analyze its distribution. Our results strongly agree with the hypothesis that $(3/2)^n$ modulo 1 is uniformly distributed.

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