Geodesic
Estimates of trigonometric sums by the third derivative
Matematičeskie zametki, Tome 60 (1996) no. 3, pp. 383-389 
S. A. Gritsenko. Estimates of trigonometric sums by the third derivative. Matematičeskie zametki, Tome 60 (1996) no. 3, pp. 383-389. http://geodesic.mathdoc.fr/item/MZM_1996_60_3_a5/
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     title = {Estimates of trigonometric sums by the third derivative},
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     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_3_a5/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The well-known Van der Corput estimate of a trigonometric sum by the third derivative is sharpened.

[1] Titchmarsh E. K., Teoriya dzeta-funktsii Rimana, IL, M., 1953

[2] Karatsuba A. A., “O rasstoyanii mezhdu sosednimi nulyami dzeta-funktsii Rimana, lezhaschimi na kriticheskoi pryamoi”, Tr. MIAN, 157, Nauka, M., 1981, 49–63 | MR | Zbl