Geodesic
Estimates for a remainder term associated with the sum of digits function
Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 109-129

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Foster, D. M. E. Estimates for a remainder term associated with the sum of digits function. Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 109-129. doi: 10.1017/S001708950000673X
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