MULTIPLE TRIGONOMETRIC SUMS
G I Arhipov, V N Čubarikov · Mathematics of the USSR-Izvestiya · 1976
We prove a multidimensional analog of I. M. Vinogradov's theorem on the mean value of the modulus of a trigonometric sum. We illustrate the possibility of using our theorem to estimate multiple trigonometric sums with the example of the simplest type of multiple trigonometric sums.Bibliography: 9 titles.