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
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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
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