The sum-of-digits-function and uniform distribution modulo 1

DOI10.1006/jnth.2000.2628zbMath0990.11053OpenAlexW2008089909MaRDI QIDQ1597951

Gerhard Larcher, Michael Drmota

Publication date: 4 June 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2628

zbMATH Keywords

discrepancysum-of-digits-functionuniform distribution modulo \(1\)

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items (5)

Uniform distribution of the weighted sum-of-digits functions ⋮ ON HYBRID SEQUENCES BUILT FROM NIEDERREITER–HALTON SEQUENCES AND KRONECKER SEQUENCES ⋮ Discrepancy estimates for index-transformed uniformly distributed sequences ⋮ On the distribution properties of Niederreiter-Halton sequences ⋮ On uniformity of q‐multiplicative sequences

Cites Work

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• Sur certaines suites uniformément équiréparties modulo 1
• Sur la mesure spectrale de certaines suites arithmétiques
• Some number-theoretical properties of generalized sum-of-digit functions
• Deux remarques concernant l'équirépartition des suites

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