On the distribution of digits in Cantor representations of integers. (English) Zbl 0582.10038
There is an extensive literature on the asymptotic behaviour of the sum of digits in the q-adic expansion of integers [see H. Delange, Enseign. Math., II. Sér. 21, 31-47 (1975; Zbl 0306.10005), and L. Dringó and I. Kátai, Acta Math. Acad. Sci. Hung. 37, 165-172 (1981; Zbl 0472.10053), and their references]. The authors extend some of these results to the sum of digits in Cantor’s representation of integers.
Reviewer: J.Galambos
MSC:
| 11K16 | Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. |
| 11A63 | Radix representation; digital problems |
| 11N37 | Asymptotic results on arithmetic functions |
Keywords:
asymptotic formulas on average values; average numbers of occurrences of fixed subblocks; sum of digits; Cantor representation of integersReferences:
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| [3] | Delange, H., Sur la fonction sommatoire de la fonction “somme de chiffres”, Enseign. Math., 21, 31-47 (1975) · Zbl 0306.10005 |
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