Benford's law for the $3x+1$ function

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We show that for most choices of an initial seed $x_0$, the sequence of the first $N$ iterates of $x_0$ under the $3x+1$ map approximately satisfies Benford's law.
16 pages; revised proof of Prop. 3.3

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Number Theory, Probability

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http://salesiana.dossiersoluciones.com/handle/123456789/124469

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509175
 http://arxiv.org/abs/math/0509175
 J. London Math. Soc. 74 (2006), 289--303

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arXiv