By S. W. Graham,Grigori Kolesnik

This e-book is a self-contained account of the single- and two-dimensional van der Corput process and its use in estimating exponential sums. those come up in lots of difficulties in analytic quantity idea. it's the first cohesive account of a lot of this fabric and should be welcomed by means of graduates and pros in analytic quantity idea. The authors exhibit how the strategy could be utilized to difficulties reminiscent of top bounds for the Riemann-Zeta functionality. the Dirichlet divisor challenge, the distribution of sq. loose numbers, and the Piatetski-Shapiro major quantity theorem.

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Van der Corput's Method of Exponential Sums (London Mathematical Society Lecture Note Series) by S. W. Graham,Grigori Kolesnik


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