Estimates for a remainder term associated with the sum of digits function

DOI10.1017/S001708950000673XzbMath0614.10008OpenAlexW2118436723MaRDI QIDQ4722131

D. M. E. Foster

Publication date: 1987

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001708950000673x

zbMATH Keywords

sum of digits functionasymptotic resultbase q-representation

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Radix representation; digital problems (11A63)

Related Items (3)

Bottom-up mergesort -- A detailed analysis ⋮ Joint distribution of completely \(q\)-additive functions in residue classes ⋮ Distribution of the sum-of-digits function of random integers: a survey

Cites Work

• On the distribution of digits in Cantor representations of integers
• The Number of 1’s in Binary Integers: Bounds and Extremal Properties
• Power and Exponential Sums of Digital Sums Related to Binomial Coefficient Parity
• Generalized Bases and Digital Sums
• An Asymptotic Formula for the Average Sum of the Digits of Integers
• On a problem in additive number theory

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