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The Method of Trigonometrical Sums in the Theory of Numbers

The Method of Trigonometrical Sums in the Theory of Numbers

By: I. M. Vinogradov

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Since the 1930s, the analytic theory of numbers has been transformed by the influence of I. M. Vinogradov, and this text for upper-level undergraduates and graduate students testifies to its author's ingenuity and to the effectiveness of his methods. Starting with a discussion of general lemmas, it advances to an investigation of Waring's problem, including explorations of singular series, the contribution of the basic intervals, and an estimate for G(n). Further topics include approximation by the fractional parts of the values of a polynomial, estimates for Weyl sums, the asymptotic formula in Waring's problem, the distribution of the fractional parts of the values of a polynomial, estimates for the simplest trigonometrical sums with primes, and Goldbach's problem. 1954 edition.

Unabridged republication of the edition published by Interscience, New York, 1954.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486438783
ISBN 139780486438788
Author/EditorI. M. Vinogradov
Page Count192
Dimensions5 3/8 x 8 1/2

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