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A note on initial digits of recurrence sequences. (English) Zbl 0936.11045
The article contains some well-known facts on the uniform distribution of sequences [cf. e.g. L. Kuipers and H. Niederreiter, Uniform distribution of sequences, Wiley, New York (1974; Zbl 0281.10001), M. Drmota and R. F. Tichy, Sequences, discrepancies and applications, Lect. Notes Math. 1651, Springer Verlag, Berlin (1997; Zbl 0877.11043)]. Complementing results for the case of two complex conjugate roots are contained in the reviewer [Math. Nachr. 136, 271-273 (1988; Zbl 0649.10044)] and for the case of periodic coefficients in the reviewer and K. Nagasaka [Z. Anal. Anwend. 10, 251-254 (1991; Zbl 0754.11021)].
11K31 Special sequences
11B37 Recurrences
11B39 Fibonacci and Lucas numbers and polynomials and generalizations