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Continued fractions of certain normal numbers. (English. Russian original) Zbl 0704.11019

Translation from Mat. Zametki 47, No. 2, 28–33 (1990; Zbl 0689.10059).

MSC:

11K16 Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
11J70 Continued fractions and generalizations
11J85 Algebraic independence; Gel’fond’s method

Citations:

Zbl 0689.10059
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Full Text: DOI

References:

[1] J. O. Shallit, ?Simple continued fractions for some irrational numbers,? J. Number Theory,11, No. 2, 209-217 (1979). · Zbl 0404.10003 · doi:10.1016/0022-314X(79)90040-4
[2] G. Köhler, ?Some more predictable continued fractions,? Monatsh. Math.,89, No. 2, 95-100 (1980). · Zbl 0419.10010 · doi:10.1007/BF01476587
[3] A. Blanchard and M. Mendés France, ?Symétrie et transcendance,? Bull. Sci. Math.,106, No. 3, 325-335 (1982).
[4] R. G. Stoneham, ?On the uniform ?-distribution of residues within the periods of rational fractions with applications to normal numbers,? Acta Arith.,22, 371-389 (1973). · Zbl 0276.10029
[5] N. M. Korobov, ?On the distribution of digits in periodic fractions,? Mat. Sb.,89, No. 4, 654-670 (1972). · Zbl 0248.10007
[6] P. Bundschuh and F.-J. Wylegala, ?Über algebraische Unabhängigkeit bei gewissen nichtfortsetzbaren Potenzreihen,? Arch. Math.,34, 32-36 (1980). · Zbl 0414.10033 · doi:10.1007/BF01224925
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