Trigonometric Sums In Number Theory And Analysis
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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.
Trigonometric Sums In Number Theory And Analysis
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Author : Gennadiĭ Ivanovich Arkhipov
language : en
Publisher: Walter de Gruyter
Release Date : 2004
Trigonometric Sums In Number Theory And Analysis written by Gennadiĭ Ivanovich 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 2004 with Mathematics categories.
Review text: "The book is written very carefully and contains at the beginning of each chapter an introduction which is very well readable. It will certainly replace the former monographies on this theme."J. Schoissengeier in: Monatshefte für Mathematik 1/2006 "The book will be useful for a wide range of mathematicians."EMS newsletter 9/2005.
Number Theory And Analysis
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Author : Anatoliĭ Alekseevich Karat︠s︡uba
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Number Theory And Analysis written by Anatoliĭ Alekseevich Karat︠s︡uba 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 1995 with Mathematics categories.
"This collection consists of papers ... devoted to current trends in analytic number theory, function theory, algebraic number theory, algebraic geometry, and combinatorics" -- t.p. verso.
Number Theory Algebra Mathematical Analysis And Their Applications
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Author : Ivan Matveevič Vinogradov (Mathematiker)
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
Number Theory Algebra Mathematical Analysis And Their Applications written by Ivan Matveevič Vinogradov (Mathematiker) 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 1993 with Mathematics categories.
This work is dedicated to the 100th anniversary of the birth of I. M. Vinogradov. It contains papers ranging over various areas of mathematics: including number theory; algebra; theory of functions of a real variable and of a complex variable; ordinary differential equations; optimal control; partial differential equations; mathematical physics; mechanics, and probability.
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.
Number Theory Analysis And Combinatorics
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Author : János Pintz
language : en
Publisher: Walter de Gruyter
Release Date : 2013-12-12
Number Theory Analysis And Combinatorics written by János Pintz 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 2013-12-12 with Mathematics categories.
Paul Turán, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Academy of Sciences, the Alfréd Rényi Institute of Mathematics, the János Bolyai Mathematical Society and the Mathematical Institute of Eötvös Loránd University organized an international conference devoted to Paul Turán's main areas of interest: number theory, selected branches of analysis, and selected branches of combinatorics. The conference was held in Budapest, August 22-26, 2011. Some of the invited lectures reviewed different aspects of Paul Turán's work and influence. Most of the lectures allowed participants to report about their own work in the above mentioned areas of mathematics.
International Conference On Analytic Methods In Number Theory And Analysis Moscow 14 19 September 1981
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
International Conference On Analytic Methods In Number Theory And Analysis Moscow 14 19 September 1981 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 1986 with Mathematics categories.
This collection consists of papers delivered at an international conference by the most eminent specialists in the domains of number theory, algebra, and analysis. The papers are devoted to actual problems in these domains of mathematics. In addition, short communications presented by participants in the conference are included.
Ten Lectures On The Interface Between Analytic Number Theory And Harmonic Analysis
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Author : Hugh L. Montgomery
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Ten Lectures On The Interface Between Analytic Number Theory And Harmonic Analysis written by Hugh L. Montgomery 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 1994 with Mathematics categories.
This volume contains lectures presented by Hugh L. Montgomery at the NSF-CBMS Regional Conference held at Kansas State University in May 1990. The book focuses on important topics in analytic number theory that involve ideas from harmonic analysis. One particularly valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature. The book should be a useful resource for harmonic analysts interested in moving into research in analytic number theory. In addition, it is suitable as a textbook in an advanced graduate topics course in number theory.
Combinatorial And Additive Number Theory Iv
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Author : Melvyn B. Nathanson
language : en
Publisher: Springer Nature
Release Date : 2021-08-12
Combinatorial And Additive Number Theory Iv written by Melvyn B. Nathanson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-12 with Mathematics categories.
This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020 workshops at the City University of New York. The latter was held online due to the COVID-19 pandemic, and featured speakers from North and South America, Europe, and Asia. The 2020 Zoom conference was the largest CANT conference in terms of the number of both lectures and participants. These proceedings contain 25 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003 at the CUNY Graduate Center, the workshop surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Topics featured in this volume include sumsets, zero-sum sequences, minimal complements, analytic and prime number theory, Hausdorff dimension, combinatorial and discrete geometry, and Ramsey theory. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.
Rational Number Theory In The 20th Century
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Author : Władysław Narkiewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-02
Rational Number Theory In The 20th Century written by Władysław Narkiewicz 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 2011-09-02 with Mathematics categories.
The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.