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A
set of nonnormal numbers
Michel Mendès France |
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Vol. 15 (1965), No. 4, 1165–1170
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Abstract |
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Let P be the set of real polynomials and let E(P) be the the set of real numbers whose n-th binary digit from a certain point on is 0 or 1 according as [φ(n)] is even or odd for some φ ∈ P. We prove that no number in E(P) is normal in the binary system and that E(P) has Hausdorff dimension 0. |
Mathematical Subject Classification
Primary: 10.33
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Milestones
Received: 30 July 1964
Published: 1 December 1965
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Authors |
| Michel Mendès France | |
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