A general arithmetic construction of transcendental non-Liouville normal numbers from rational fractions
R. Stoneham (1970)
Acta Arithmetica
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R. Stoneham (1970)
Acta Arithmetica
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H. Kesten (1964)
Acta Arithmetica
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Matti Jutila (1975)
Acta Arithmetica
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Michael Drmota, Johannes Gajdosik (1998)
Journal de théorie des nombres de Bordeaux
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By using a generating function approach it is shown that the sum-of-digits function (related to specific finite and infinite linear recurrences) satisfies a central limit theorem. Additionally a local limit theorem is derived.
Edward Thorp, Robert Whitley (1971)
Compositio Mathematica
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D. Burgess (1971)
Acta Arithmetica
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K. Roth (1979)
Acta Arithmetica
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K. Chandrasekharan, H. Joris (1973)
Acta Arithmetica
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M. Newman, J. Lehner (1969)
Acta Arithmetica
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