The Method of Trigonometrical Sums in the Theory of Numbers wind-powered toys known as whirligigs

wind-powered toys known as whirligigs have enchanted observers for centuries with their whimsical images: birds with spinning wings

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none of which surpass the original

the mundane life of the city is recaptured in remarkable images of an era when beer was a nickel a bottle and cows still grazed within sight of the Capitol

The Method of Trigonometrical Sums in the Theory of Numbers wind-powered toys known as whirligigsSince 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