Geodesic
On the distribution of absolute values of the trigonometric sum on short intervals
Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 154-163

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The theorems on the distribution of absolute values of the trigonometric sum with lacunary sequence of natural numbers on short intervals are proved.
Keywords: triginometric sums, short intervals, values distribution, lacunary sequence. 
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     title = {On the distribution of absolute values of the trigonometric sum on short intervals},
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I. S. Timergaliev; R. N. Boyarinov. On the distribution of absolute values of the trigonometric sum on short intervals. Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 154-163. http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a14/