Abstract
If q(≥2) is a fixed integer it is well known that every positive integer k may be expressed uniquely in the formWe introduce the ‘sum of digits’ functionBoth the above sums are of course finite. Although the behaviour of α(q, k) is somewhat erratic, its average behaviour is more regular and has been widely studied.
Publisher
Cambridge University Press (CUP)
Reference11 articles.
1. The Number of 1’s in Binary Integers: Bounds and Extremal Properties
2. On a Problem in Additive Number Theory
3. Sur la fonction sommatoire de la fonction ‘somme des chiffres’;Delange;Enseignment Math.,1975
4. An Asymptotic Formula for the Average Sum of the Digits of Integers
5. A theorem on representations of integers in the scale of r;Mirsky;Scripta Math.,1949
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