Geodesic
A~sharp estimate for the number of solutions of a~system of Diophantine equations
Izvestiya. Mathematics , Tome 13 (1979) no. 3, pp. 461-497

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A sharp estimate is obtained for the average of $|\Gamma|^{2k}$, where $\Gamma$ is an $r$-fold Weyl sum, valid for suitably large $k$. Bibliography: 9 titles. 
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     title = {A~sharp estimate for the number of solutions of a~system of {Diophantine} equations},
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G. I. Arkhipov; A. A. Karatsuba; V. N. Chubarikov. A~sharp estimate for the number of solutions of a~system of Diophantine equations. Izvestiya. Mathematics , Tome 13 (1979) no. 3, pp. 461-497. http://geodesic.mathdoc.fr/item/IM2_1979_13_3_a0/