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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Elementary proofs of two theorems on the distribution of numbers $n\theta (\mod 1)$
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by Adolf Miklavc PDF
Proc. Amer. Math. Soc. 39 (1973), 279-280 Request permission

Abstract:

Simple and elementary proofs of denseness and uniform distribution of the numbers $\{ n\theta \} ,\theta$ irrational, on the unit interval.
References
    G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Oxford Univ. Press, London, 1960.
  • Ivan Niven, Diophantine approximations, Interscience Tracts in Pure and Applied Mathematics, No. 14, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1963. The Ninth Annual Series of Earle Raymond Hedrick Lectures of The Mathematical Association of America. MR 0148613
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 39 (1973), 279-280
  • MSC: Primary 10K05
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0316415-X
  • MathSciNet review: 0316415