Mathematics and its Applications

Exponential Sums and their Applications

Authors: Korobov, N.M

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eBook 79,72 €
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  • ISBN 978-94-015-8032-8
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Hardcover 98,79 €
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  • ISBN 978-0-7923-1647-3
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Softcover 232,96 €
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  • ISBN 978-90-481-4137-1
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About this book

The method of exponential sums is a general method enabling the solution of a wide range of problems in the theory of numbers and its applications. This volume presents an exposition of the fundamentals of the theory with the help of examples which show how exponential sums arise and how they are applied in problems of number theory and its applications.
The material is divided into three chapters which embrace the classical results of Gauss, and the methods of Weyl, Mordell and Vinogradov; the traditional applications of exponential sums to the distribution of fractional parts, the estimation of the Riemann zeta function; and the theory of congruences and Diophantine equations. Some new applications of exponential sums are also included.
It is assumed that the reader has a knowledge of the fundamentals of mathematical analysis and of elementary number theory.

Table of contents (3 chapters)

  • Complete Exponential Sums

    Korobov, N. M.

    Pages 1-67

    Preview Buy Chapter 30,19 €
  • Weyl’s Sums

    Korobov, N. M.

    Pages 68-138

    Preview Buy Chapter 30,19 €
  • Fractional Parts Distribution, Normal Numbers, and Quadrature Formulas

    Korobov, N. M.

    Pages 139-201

    Preview Buy Chapter 30,19 €

Buy this book

eBook 79,72 €
price for Spain (gross)
  • ISBN 978-94-015-8032-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 98,79 €
price for Spain (gross)
  • ISBN 978-0-7923-1647-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 232,96 €
price for Spain (gross)
  • ISBN 978-90-481-4137-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Exponential Sums and their Applications
Authors
Series Title
Mathematics and its Applications
Series Volume
80
Copyright
1992
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-015-8032-8
DOI
10.1007/978-94-015-8032-8
Hardcover ISBN
978-0-7923-1647-3
Softcover ISBN
978-90-481-4137-1
Series ISSN
0169-6378
Edition Number
1
Number of Pages
XVI, 210
Topics