Old and new on sums of digits

DOI10.1007/S00591-002-0048-4zbMath1028.11004OpenAlexW430916924MaRDI QIDQ1811225

Jan-Christoph Schlage-Puchta, Juergen Spilker

Publication date: 26 January 2004

Published in: Mathematische Semesterberichte (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00591-002-0048-4

zbMATH Keywords

sum of digits\(g\)-adic representationalternating sum of digitsdistribution of the sum of digits in residue classesestimate of \(\sum_{m,n\leq x}(s_g(m) + s_g(n) - s_g(m+n))\)iteration of \(s_g(n)\)summatory function \(\sum_{n\leq x} s_g(n)\)

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers in special residue classes (11N69) Radix representation; digital problems (11A63)

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Discrepancy estimates for index-transformed uniformly distributed sequences

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