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Proceedings of the American Mathematical Society

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Elementary proofs of two theorems on the distribution of numbers $ n\theta (\mod 1)$


Author: Adolf Miklavc
Journal: Proc. Amer. Math. Soc. 39 (1973), 279-280
MSC: Primary 10K05
MathSciNet review: 0316415
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Abstract: Simple and elementary proofs of denseness and uniform distribution of the numbers $ \{ n\theta \} ,\theta $ irrational, on the unit interval.


References [Enhancements On Off] (What's this?)

  • [1] G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Oxford Univ. Press, London, 1960.
  • [2] Ivan Niven, Diophantine approximations, The Ninth Annual Series of Earle Raymond Hedrick Lectures of The Mathematical Association of America. Interscience Tracts in Pure and Applied Mathematics No. 14, Interscience Publishers, a division of John Wiley & Sons, New York- London, 1963. MR 0148613

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0316415-X
Article copyright: © Copyright 1973 American Mathematical Society