A~new estimate for a~trigonometric integral of I.\,M.~Vinogradov
Izvestiya. Mathematics , Tome 30 (1988) no. 2, pp. 337-351

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This paper is devoted to refinements of I. M. Vinogradov's theorem on the mean. New estimates are obtained for the mean values of trigonometric sums which are effective on the domain of admissible variation of the parameters. Bibliography: 28 titles.
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     title = {A~new estimate for a~trigonometric integral of {I.\,M.~Vinogradov}},
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O. V. Tyrina. A~new estimate for a~trigonometric integral of I.\,M.~Vinogradov. Izvestiya. Mathematics , Tome 30 (1988) no. 2, pp. 337-351. http://geodesic.mathdoc.fr/item/IM2_1988_30_2_a7/