Contributions to digit expansions with respect to linear recurrences. (English) Zbl 0711.11004

Grabner, P. J.; Tichy, R. F.

J. Number Theory 36, No. 2, 160-169 (1990).

Authors’ summary: Extensions and improvements of a recent paper by A. Pethö and R. F. Tichy [J. Number Theory 33, No. 2, 243–256 (1989; Zbl 0676.10010)] are established. Furthermore distribution properties mod 1 of the sequence \((x\cdot s_G(n))\) are investigated, where \(s_G(n)\) denotes the sum-of-digits function with respect to the linear recurrence \(G\).

Reviewer: Péter Kiss (Eger)

MSC:

11A63	Radix representation; digital problems
11B37	Recurrences
11K06	General theory of distribution modulo \(1\)

Keywords:

sum-of-digits; linear recurrence; asymptotic behavior of mean value; uniform distribution mod 1; Weyl criterion; bounds for exponential sums

Citations:

Zbl 0676.10010

References:

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