The Hausdorff dimension of a set of normal numbers.
A. D. Pollington
Source: Pacific J. Math. Volume 95, Number 1
(1981), 193-204.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102735539
Zentralblatt MATH identifier: 0479.10031
Mathematical Reviews number (MathSciNet): MR631669
References
[1] H. G. Eggleston, Sets of fractional dimension which occur in some problems of number theory, Proc. London Math. Soc 54 (1951-52), 42-93.
Mathematical Reviews (MathSciNet): MR14:23c
Zentralblatt MATH: 0045.16603
[2] W. M. Schmidt, On normal numbers, Pacific J. Math., 10 (1960), 661-672.
Mathematical Reviews (MathSciNet): MR22:7994
Zentralblatt MATH: 0093.05401
[3] W. M. Schmidt, Uber die Normalitdtvon Zahlen zu verschiedenen Basen, Acta Arith., 7 (1961-62), 299-309.
Mathematical Reviews (MathSciNet): MR25:3902
[4] W. M. Schmidt, On badly approximatenumbers and certain games, Trans. Amer. Math. Soc, 123 (1966), 178-199.
Mathematical Reviews (MathSciNet): MR33:3793
Zentralblatt MATH: 0232.10029
Pacific Journal of Mathematics
