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The distribution of leading digits and uniform distribution mod 1. (English) Zbl 0364.10025

##### MSC:
 11K06 General theory of distribution modulo $$1$$ 60F05 Central limit and other weak theorems 11K99 Probabilistic theory: distribution modulo $$1$$; metric theory of algorithms 11A63 Radix representation; digital problems 11K16 Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
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