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Double trigonometric sums and their application in approximating rational sums
Matematičeskie zametki, Tome 6 (1969) no. 1, pp. 25-34.

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Inequalities for double trigonometric sums are derived. These inequalities are used to obtain new estimates of incomplete rational trigonometrical sums with denominators equal to powers of rational numbers. 
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     author = {N. M. Korobov},
     title = {Double trigonometric sums and their application in approximating rational sums},
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     year = {1969},
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N. M. Korobov. Double trigonometric sums and their application in approximating rational sums. Matematičeskie zametki, Tome 6 (1969) no. 1, pp. 25-34. http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a3/