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Transactions of the American Mathematical Society

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Uniform distribution of sequences of integers


Author: Ivan Niven
Journal: Trans. Amer. Math. Soc. 98 (1961), 52-61
MSC: Primary 10.00
MathSciNet review: 0120214
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  • [3] É. Borel, Les probabilités dénombrables et leurs applications arithmétiques, Rend. Circ. Mat. Palermo vol. 27 (1909) pp. 247-271.
  • [4] Trygve Nagell, Introduction to Number Theory, John Wiley & Sons, Inc., New York; Almqvist & Wiksell, Stockholm, 1951. MR 0043111
  • [5] R. Creighton Buck, The measure theoretic approach to density, Amer. J. Math. 68 (1946), 560–580. MR 0018196
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  • [7] Thøger Bang, On the sequence [𝑛𝛼],𝑛=1,2,\cdots, Math. Scand. 5 (1957), 69–76. Supplementary note to the preceding paper by Th. Skolem. MR 0092798

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DOI: https://doi.org/10.1090/S0002-9947-1961-0120214-8
Article copyright: © Copyright 1961 American Mathematical Society