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Convergence <strong>of</strong> <strong>the</strong> <strong>fractional</strong> <strong>parts</strong> <strong>of</strong> <strong>the</strong> <strong>random</strong> <strong>variables</strong> 127<br />

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[6] P. Schatte, On <strong>the</strong> asymp<strong>to</strong>tic uniform distribution <strong>of</strong> <strong>the</strong> n-fold convolution<br />

mod 1 <strong>of</strong> a lattice distribution, Matematische Nachrichten, 128:<br />

233-241, 1986.<br />

[7] E.C. Titchmarsh, The <strong>the</strong>ory <strong>of</strong> functions, Oxfoed University Press,<br />

London, second ed., 1960.<br />

[8] H.G. Tucker,A graduate course in probability, Academic Press, New<br />

York, 1967.<br />

[9] R.J. Wilms Gerardus, Fractional <strong>parts</strong> <strong>of</strong> <strong>random</strong> <strong>variables</strong>, Wibro Dissertatiedrukkerij,<br />

Helmond, 1994.

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