Exponential Sums And Their Applications

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Exponential Sums And Their Applications

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Author : N.M Korobov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Exponential Sums And Their Applications written by N.M Korobov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.

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.

Sieve Methods Exponential Sums And Their Applications In Number Theory

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Author : G. R. H. Greaves
language : en
Publisher:
Release Date : 1997

Sieve Methods Exponential Sums And Their Applications In Number Theory written by G. R. H. Greaves and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Electronic books categories.

State-of-the-art analytic number theory proceedings.

Sieve Methods Exponential Sums And Their Applications In Number Theory

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Author : G. R. H. Greaves
language : en
Publisher: Cambridge University Press
Release Date : 1997-01-30

Sieve Methods Exponential Sums And Their Applications In Number Theory written by G. R. H. Greaves and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-30 with Mathematics categories.

State-of-the-art analytic number theory proceedings.

Exponential Sums And Their Application

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Author : N. M. Korobov
language : en
Publisher:
Release Date : 1989

Exponential Sums And Their Application written by N. M. Korobov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.

Bounds For Exponential Sums And Their Applications To Pseudorandum Numbers

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Author : J. Eichenauer-Herrmann
language : en
Publisher:
Release Date : 1993

Bounds For Exponential Sums And Their Applications To Pseudorandum Numbers written by J. Eichenauer-Herrmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

Bounds For Exponential Sums And Their Applications To Pseudorandom Numbers

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Author : Jürgen Eichenauer-Herrmann
language : de
Publisher:
Release Date : 1993

Bounds For Exponential Sums And Their Applications To Pseudorandom Numbers written by Jürgen Eichenauer-Herrmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

Lectures On A Method In The Theory Of Exponential Sums

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Author : Matti I. Jutila
language : en
Publisher: Springer
Release Date : 1988-02-19

Lectures On A Method In The Theory Of Exponential Sums written by Matti I. Jutila and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-02-19 with Mathematics categories.

These notes are based on the lectures given by the author at the Tata Institute in 1985 on certain classes of exponential sums and their applications in analytic number theory. More specifically, the exponential sums under consideration involve either the divisor function d(n) or Fourier coefficients of cusp forms (e.g. Ramanujan's function #3(n)). However, the "transformation method" presented, relying on general principles such as functional equations, summation formulae and the saddle point method, has a wider scope. Its classical analogue is the familiar "process B" in van der Corput's method, that transforms ordinary exponential sums by Poisson's summation formula and the saddle point method. In the present context, the summation formulae required are of the Voronoi type. These are derived in Chapter I. Chapter II deals with exponential integrals and the saddle point method. The main results of these notes, the general transformation formulae for exponential sums, are then established in Chapter III and some applications are given in Chapter IV. First the transformation of Dirichlet polynomials is worked out in detail, and the rest of the chapter is devoted to estimations of exponential sums and Dirichlet series. The material in Chapters III and IV appears here for the first time in print. The notes are addressed to researchers but are also accessible to graduate students with some basic knowledge of analytic number theory.

Character Sums With Exponential Functions And Their Applications

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Author : Sergei Konyagin
language : en
Publisher: Penguin Group
Release Date : 1999-09-02

Character Sums With Exponential Functions And Their Applications written by Sergei Konyagin and has been published by Penguin Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-02 with Computers categories.

A treatment of a lively topic from number theory for graduate students and researchers.

Sieve Methods Exponential Sums And Their Applications In Number Theory

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Author : George Richard Herbert Greaves
language : en
Publisher:
Release Date : 2014-05-14

Sieve Methods Exponential Sums And Their Applications In Number Theory written by George Richard Herbert Greaves and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.

State-of-the-art analytic number theory proceedings.

Character Sums With Exponential Functions And Their Applications

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Author : KonUL.
language : en
Publisher:
Release Date : 1999

Character Sums With Exponential Functions And Their Applications written by KonUL. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Exponential sums categories.