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Van der Corput's Method of Exponential Sums / S. W. Graham, Grigori Kolesnik.

By: Contributor(s): Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 126 | London Mathematical Society Lecture Note Series ; no. 126.Publisher: Cambridge : Cambridge University Press, 1991Description: 1 online resource (132 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511661976 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • n/a n/a
LOC classification:
  • QA246.7  .G73 1991
Online resources: Summary: This book is a self-contained account of the one- and two-dimensional van der Corput method and its use in estimating exponential sums. These arise in many problems in analytic number theory. It is the first cohesive account of much of this material and will be welcomed by graduates and professionals in analytic number theory. The authors show how the method can be applied to problems such as upper bounds for the Riemann-Zeta function. the Dirichlet divisor problem, the distribution of square free numbers, and the Piatetski-Shapiro prime number theorem.
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK12168

Title from publisher's bibliographic system (viewed on 16 Oct 2015).

This book is a self-contained account of the one- and two-dimensional van der Corput method and its use in estimating exponential sums. These arise in many problems in analytic number theory. It is the first cohesive account of much of this material and will be welcomed by graduates and professionals in analytic number theory. The authors show how the method can be applied to problems such as upper bounds for the Riemann-Zeta function. the Dirichlet divisor problem, the distribution of square free numbers, and the Piatetski-Shapiro prime number theorem.

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