The book presents the theory of multiple trigonometric sums
constructed by the authors. Following a unified approach, the
authors obtain estimates for these sums similar to the classical I.
M. VinogradovAs estimates and use them to solve several problems in
analytic number theory. They investigate trigonometric integrals,
which are often encountered in physics, mathematical statistics,
and analysis, and in addition they present purely arithmetic
results concerning the solvability of equations in integers.
General
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