Geodesic
Trigonometric integrals
Izvestiya. Mathematics , Tome 15 (1980) no. 2, pp. 211-239

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A number of theorems on bounds, some sharp, are obtained for trigonometric integrals, and estimates which can be applied to investigations of singular integrals in the Tarry problem and its generalizations are derived. Bibliography: 20 titles. 
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     author = {G. I. Arkhipov and A. A. Karatsuba and V. N. Chubarikov},
     title = {Trigonometric integrals},
     journal = {Izvestiya. Mathematics },
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     language = {en},
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}
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G. I. Arkhipov; A. A. Karatsuba; V. N. Chubarikov. Trigonometric integrals. Izvestiya. Mathematics , Tome 15 (1980) no. 2, pp. 211-239. http://geodesic.mathdoc.fr/item/IM2_1980_15_2_a0/