Trigonometric Sums And Their Applications
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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.
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.
Trigonometric Sums In Number Theory And Analysis
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Author : Gennady I. Arkhipov
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22
Trigonometric Sums In Number Theory And Analysis written by Gennady I. Arkhipov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.
The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradov ́s estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often encountered in physics, mathematical statistics, and analysis, and in addition they present purely arithmetic results concerning the solvability of equations in integers.
Theory Of Functions And Its Applications
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Author : Lev Semenovich Pontri︠a︡gin
language : en
Publisher: American Mathematical Soc.
Release Date : 1977
Theory Of Functions And Its Applications written by Lev Semenovich Pontri︠a︡gin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
A collection of papers and articles honoring Sergeĭ Mihaĭlovič Nikolʹskiĭ and detailing original scientific research in the theory of functions of one and several variables and the applications to differential equations.
Teorija Isel Matemati Eskij Analiz I Ich Prilo Enija
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Author : Ivan Matveevich Vinogradov
language : en
Publisher: American Mathematical Soc.
Release Date : 1983
Teorija Isel Matemati Eskij Analiz I Ich Prilo Enija written by Ivan Matveevich Vinogradov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.
Multiple Trigonometric Sums
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Author : Gennadiĭ Ivanovich Arkhipov
language : en
Publisher: American Mathematical Soc.
Release Date : 1982
Multiple Trigonometric Sums written by Gennadiĭ Ivanovich Arkhipov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Proceedings of the Steklov Institute of Mathematics is a cover-to-cover translation of the Trudy Matematicheskogo Instituta imeni V.A. Steklova of the Russian Academy of Sciences. Each issue ordinarily contains either one book-length article or a collection of articles pertaining to the same topic
Number Theory And Its Applications In China
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Author : Yuan Wang
language : en
Publisher: American Mathematical Soc.
Release Date : 1988
Number Theory And Its Applications In China written by Yuan Wang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Emphasizes the accomplishments of Chinese number theorists during 1949-1979, a period when correspondence between China and other countries was discouraged. This work presents a survey of the significant contributions of Chinese mathematicians. It also reflects the developments and state of research in number theory in China.
20 Lectures Delivered At The International Congress Of Mathematicians In Vancouver 1974
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 1977-12-31
20 Lectures Delivered At The International Congress Of Mathematicians In Vancouver 1974 written by and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-12-31 with Mathematics categories.
The Hardy Littlewood Method
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Author :
language : en
Publisher: Cambridge University Press
Release Date :
The Hardy Littlewood Method written by 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 with categories.
Problems And Solutions In Real Analysis
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Author : Masayoshi Hata
language : en
Publisher: World Scientific
Release Date : 2007
Problems And Solutions In Real Analysis written by Masayoshi Hata and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This unique book provides a collection of more than 200 mathematical problems and their detailed solutions, which contain very useful tips and skills in real analysis. Each chapter has an introduction, in which some fundamental definitions and propositions are prepared. This also contains many brief historical comments on some significant mathematical results in real analysis together with useful references.Problems and Solutions in Real Analysis may be used as advanced exercises by undergraduate students during or after courses in calculus and linear algebra. It is also useful for graduate students who are interested in analytic number theory. Readers will also be able to completely grasp a simple and elementary proof of the prime number theorem through several exercises. The book is also suitable for non-experts who wish to understand mathematical analysis.