On the discrepancy of sequences associated with the sum-of-digits function

DOI10.5802/AIF.1095zbMath0601.10038OpenAlexW2315945169MaRDI QIDQ1080885

N. Kopecek, Robert F. Tichy, Gerhard Larcher, Gerhard Turnwald

Publication date: 1987

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1987__37_3_1_0

zbMATH Keywords

discrepancyuniform distributionsum-of-digits functiondigit representation

Mathematics Subject Classification ID

Estimates on character sums (11L40) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

Related Items (1)

On the distribution of sequences connected with digit-representation

Cites Work

• \(\alpha\)-additive functions and uniform distribution modulo one
• On the discrepancy of some special sequences
• Représentations des entiers naturels et indépendance statistique. II
• Représentations des entiers naturels et suites uniformément équiréparties
• Simultaneous approximation to algebraic numbers by rationals
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