On the order of magnitude of some arithmetical functions under digital constraint. I. (English) Zbl 1370.11111
Summary: Let \(q\geq 2\) be an integer and let \(S_q(n)\) denote the sum of the digits in base \(q\) of the positive integer \(n\). We look for an estimate of the average of some multiplicative arithmetical functions under constraints on the arithmetical congruence of the integers and the sum of their digits.
MSC:
| 11N37 | Asymptotic results on arithmetic functions |
| 11N60 | Distribution functions associated with additive and positive multiplicative functions |
References:
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