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

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dc.creatorLagarias, Jeffrey C.
dc.creatorSoundararajan, K.
dc.date2005-09-07
dc.date2006-08-09
dc.date.accessioned2026-07-07T07:48:21Z
dc.date.available2026-07-07T07:48:21Z
dc.descriptionWe 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.
dc.description16 pages; revised proof of Prop. 3.3
dc.identifierhttps://arxiv.org/abs/math/0509175
dc.identifierhttp://arxiv.org/abs/math/0509175
dc.identifierJ. London Math. Soc. 74 (2006), 289--303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124469
dc.subjectNumber Theory
dc.subjectProbability
dc.titleBenford's law for the $3x+1$ function
dc.typetext

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