This article is cited in 5 papers

A sharp estimate for the number of solutions of a system of Diophantine equations

G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov


Abstract: 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.

UDC: 511

MSC: 10B15, 10G10

Received: 12.06.1978

 English version: Mathematics of the USSR-Izvestiya, 1979, 13:3, 461–497

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