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: 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.
Trigonometric Sums And Their Applications
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Author : Andrei Raigorodskii
language : en
Publisher: Springer Nature
Release Date : 2020-03-11
Trigonometric Sums And Their Applications written by Andrei Raigorodskii and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-11 with Mathematics categories.
This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific disciplines. Graduate students and researchers will find within this book numerous examples and a plethora of results related to trigonometric sums through pure and applied research along with open problems and new directions for future research.
Van Der Corput S Method Of Exponential Sums
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Author : S. W. Graham
language : en
Publisher: Cambridge University Press
Release Date : 1991-01-25
Van Der Corput S Method Of Exponential Sums written by S. W. Graham 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 1991-01-25 with Mathematics categories.
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.
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.
Current Trends In Symmetric Polynomials With Their Applications
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Author : Taekyun Kim
language : en
Publisher: MDPI
Release Date : 2019-10-15
Current Trends In Symmetric Polynomials With Their Applications written by Taekyun Kim and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-15 with Mathematics categories.
This Special Issue presents research papers on various topics within many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric functions and polynomials.
Sequences And Their Applications Seta 2004
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Author : Tor Helleseth
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06
Sequences And Their Applications Seta 2004 written by Tor Helleseth 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 2005-06 with Computers categories.
This book constitutes the thoroughly refereed post-proceedings of the Third International Conference on Sequences and Their Applications, SETA 2004, held in Seoul, Korea in October 2004. The 30 revised full papers presented together with 4 invited survey articles were carefully selected during two rounds of reviewing and improvement from initially 59 submissions. The papers are organized in topical sections on complexity of sequences, perfect sequences, sequence construction, sequences modulo z, sequence generator properties and applications, multi-dimensional sequences, optics and OFDM applications, and polynomials and functions.
The Method Of Trigonometrical Sums In The Theory Of Numbers
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Author : I. M. Vinogradov
language : en
Publisher: Courier Corporation
Release Date : 2013-10-30
The Method Of Trigonometrical Sums In The Theory Of Numbers written by I. M. Vinogradov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-30 with Mathematics categories.
This text investigates Waring's problem, approximation by fractional parts of the values of a polynomial, estimates for Weyl sums, distribution of fractional parts of polynomial values, Goldbach's problem, more. 1954 edition.
Coding Theory And Cryptology
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Author : Harald Niederreiter
language : en
Publisher: World Scientific
Release Date : 2002-12-03
Coding Theory And Cryptology written by Harald Niederreiter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-03 with Mathematics categories.
The inaugural research program of the Institute for Mathematical Sciences at the National University of Singapore took place from July to December 2001 and was devoted to coding theory and cryptology. As part of the program, tutorials for graduate students and junior researchers were given by world-renowned scholars. These tutorials covered fundamental aspects of coding theory and cryptology and were designed to prepare for original research in these areas. The present volume collects the expanded lecture notes of these tutorials. The topics range from mathematical areas such as computational number theory, exponential sums and algebraic function fields through coding-theory subjects such as extremal problems, quantum error-correcting codes and algebraic-geometry codes to cryptologic subjects such as stream ciphers, public-key infrastructures, key management, authentication schemes and distributed system security.