About a~system of indeterminate equations
Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 125-128.

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Two theorems are proved in this note. One concerns I. M. Vinogradov's theorem about the mean, the other concerns the estimation of Weyl's sums with growing powers of the polynomial.
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A. A. Karatsuba. About a~system of indeterminate equations. Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 125-128. http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a0/