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Sum of digits to different bases and mutual singularity of their spectral measures. (English) Zbl 0391.10034

##### MSC:
 11K06 General theory of distribution modulo $$1$$ 11K16 Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. 11K65 Arithmetic functions in probabilistic number theory 11K55 Metric theory of other algorithms and expansions; measure and Hausdorff dimension