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Benford's law for the 3x+1 function
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Benford's law for the 3x+1 function
classification
math.NT
math.PR
keywords
benfordapproximatelychoicesfirstfunctioninitialiteratessatisfies
read the original abstract
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.
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