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On modifying constructed normal numbers. (English) Zbl 0429.10034


MSC:

11K16 Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
11K06 General theory of distribution modulo \(1\)
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References:

[1] Champernowne, D.G.. «The construction of decimals normal in the scale of ten». Journ. London Math. Soc.8 (1933),254-260. · Zbl 0007.33701
[2] Copeland, A.H. and Erdös, P.. «Note on normal numbers». Bull. Amer. Math. Soc.52 (1946), 857-860. · Zbl 0063.00962
[3] Davenport, H. and Erdös, P.. «Note on normal decimals». Canad. Journ. Math.4 (1952), 58-63. · Zbl 0046.04902
[4] Kühnle, H.. «Schnell konvergierende Ziffernfolgen bei speziellen zahlentheoretischen Transformationen». Diss. Univ.Stuttgart1978. · Zbl 0431.10034
[5] Postnikov, A.G.. «Ergodic problems in the theory of congruences and of diophantine approximations». (Russian). Trudy Mat. Inst. Stekov82 (1966). Engl. transl. Proc. Stekov Inst. Math.82, Amer. Math. Soc.1967. · Zbl 0178.04702
[6] Ville, J.. «Etude critique de la notion de collectif». Monogr. des Probabilités, 3, Gauthiers-Villars, Paris1939. · JFM 65.0547.05
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