On the sequence α n!
classification
🧮 math.NT
keywords
alphasequencedicrepancyexistsmathbbprovesatisfiesthere
read the original abstract
We prove that there exists $\alpha \in \mathbb{R}$ such that for any $N$ the dicrepancy $D_N$ of the sequence $\{\alpha n !\} ,\, 1\le n \le N$ satisfies $ D_N = O(\log N)$.
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