Sum of digits to different bases and mutual singularity of their spectral measures

zbMath0391.10034MaRDI QIDQ1251248

Teturo Kamae

Publication date: 1978

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Almost Periodic FunctionsArithmetic FunctionsDigital ExpansionsDistribution Module 1Harmonic AnalysisSpectral MeasuresSum Of Digits

Mathematics Subject Classification ID

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

Related Items (7)

Cyclic extensions of odometer transformations and spectral disjointness ⋮ Spectral properties of the Möbius function and a random Möbius model ⋮ Sur la singularité des produits de Riesz et des mesures spectrales associées à la somme des chiffres ⋮ Mesures spectrales associées à certaines suites arithmétiques ⋮ On the joint distribution of \(q\)-additive functions in residue classes ⋮ Prime numbers in two bases ⋮ Mesures spectrales de Walsh associées à certaines suites arithmétiques

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