Additive Theory of Prime Numbers

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849425
Total Pages : 206 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Additive Theory of Prime Numbers by : Luogeng Hua

Download or read book Additive Theory of Prime Numbers written by Luogeng Hua and published by American Mathematical Soc.. This book was released on 2009-12-04 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Loo-Keng Hua was a master mathematician, best known for his work using analytic methods in number theory. In particular, Hua is remembered for his contributions to Waring's Problem and his estimates of trigonometric sums. Additive Theory of Prime Numbers is an exposition of the classic methods as well as Hua's own techniques, many of which have now also become classic. An essential starting point is Vinogradov's mean-value theorem for trigonometric sums, which Hua usefully rephrases and improves. Hua states a generalized version of the Waring-Goldbach problem and gives asymptotic formulas for the number of solutions in Waring's Problem when the monomial $x^k$ is replaced by an arbitrary polynomial of degree $k$. The book is an excellent entry point for readers interested in additive number theory. It will also be of value to those interested in the development of the now classic methods of the subject.

Additive Number Theory The Classical Bases

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Publisher : Springer Science & Business Media
ISBN 13 : 1475738455
Total Pages : 350 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Additive Number Theory The Classical Bases by : Melvyn B. Nathanson

Download or read book Additive Number Theory The Classical Bases written by Melvyn B. Nathanson and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: [Hilbert's] style has not the terseness of many of our modem authors in mathematics, which is based on the assumption that printer's labor and paper are costly but the reader's effort and time are not. H. Weyl [143] The purpose of this book is to describe the classical problems in additive number theory and to introduce the circle method and the sieve method, which are the basic analytical and combinatorial tools used to attack these problems. This book is intended for students who want to lel?Ill additive number theory, not for experts who already know it. For this reason, proofs include many "unnecessary" and "obvious" steps; this is by design. The archetypical theorem in additive number theory is due to Lagrange: Every nonnegative integer is the sum of four squares. In general, the set A of nonnegative integers is called an additive basis of order h if every nonnegative integer can be written as the sum of h not necessarily distinct elements of A. Lagrange 's theorem is the statement that the squares are a basis of order four. The set A is called a basis offinite order if A is a basis of order h for some positive integer h. Additive number theory is in large part the study of bases of finite order. The classical bases are the squares, cubes, and higher powers; the polygonal numbers; and the prime numbers. The classical questions associated with these bases are Waring's problem and the Goldbach conjecture.

Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0387308296
Total Pages : 247 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Number Theory by : Wenpeng Zhang

Download or read book Number Theory written by Wenpeng Zhang and published by Springer Science & Business Media. This book was released on 2006-06-05 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects survey and research papers on various topics in number theory. Although the topics and descriptive details appear varied, they are unified by two underlying principles: first, readability, and second, a smooth transition from traditional approaches to modern ones. Thus, on one hand, the traditional approach is presented in great detail, and on the other, the modernization of the methods in number theory is elaborated.

Proceedings of The 7th International Conference on Contemporary Education, Social Sciences and Humanities (Philosophy of Being Human as the Core of Interdisciplinary Research) (ICCESSH 2022)

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Publisher : Springer Nature
ISBN 13 : 2494069432
Total Pages : 448 pages
Book Rating : 4.4/5 (94 download)

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Book Synopsis Proceedings of The 7th International Conference on Contemporary Education, Social Sciences and Humanities (Philosophy of Being Human as the Core of Interdisciplinary Research) (ICCESSH 2022) by : Olga Chistyakova

Download or read book Proceedings of The 7th International Conference on Contemporary Education, Social Sciences and Humanities (Philosophy of Being Human as the Core of Interdisciplinary Research) (ICCESSH 2022) written by Olga Chistyakova and published by Springer Nature. This book was released on 2023-02-10 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an open access book. The aim of the Conference is to provide a shared platform for academics, scholars, PhD students, and graduate students with different cultural backgrounds to present and discuss research, developments and innovations in the fields of contemporary education, social sciences and humanities are referred with the understanding of the Human being. Papers concerning education, philosophy, philosophical anthropology, sociology, theory and history of culture, epistemology, religions, ethics are strongly related with analyzing of the Human being will be considered. Interdisciplinary approach and comparative perspective are encouraged.

Using the Mathematics Literature

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Publisher : CRC Press
ISBN 13 : 9780824750350
Total Pages : 412 pages
Book Rating : 4.7/5 (53 download)

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Book Synopsis Using the Mathematics Literature by : Kristine K. Fowler

Download or read book Using the Mathematics Literature written by Kristine K. Fowler and published by CRC Press. This book was released on 2004-05-25 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.

Number Theory and Its Applications in China

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Publisher : American Mathematical Soc.
ISBN 13 : 0821850849
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Number Theory and Its Applications in China by : Yuan Wang

Download or read book Number Theory and Its Applications in China written by Yuan Wang and published by American Mathematical Soc.. This book was released on 1988 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analytic Number Theory:The Halberstam Festschrift 2

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817639334
Total Pages : 464 pages
Book Rating : 4.6/5 (393 download)

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Book Synopsis Analytic Number Theory:The Halberstam Festschrift 2 by : Bruce C. Berndt

Download or read book Analytic Number Theory:The Halberstam Festschrift 2 written by Bruce C. Berndt and published by Springer Science & Business Media. This book was released on 1996-05-01 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of two volumes presenting papers from an international conference on analytic number theory. The two volumes contain 50 papers, with an emphasis on topics such as sieves, related combinatorial aspects, multiplicative number theory, additive number theory, and Riemann zeta-function.

Number Theory for the Millennium II

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Publisher : CRC Press
ISBN 13 : 0429611404
Total Pages : 468 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Number Theory for the Millennium II by : Bruce Berndt

Download or read book Number Theory for the Millennium II written by Bruce Berndt and published by CRC Press. This book was released on 2024-07-31 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium with a conference that reviewed the current state of number theory research and pointed to future directions in the field. The conference was the largest general number theory conference in recent history, featuring a total of 159 talks, with the plenary lectures given by George Andrews, Jean Bourgain, Kevin Ford, Ron Graham, Andrew Granville, Roger Heath-Brown, Christopher Hooley, Winnie Li, Kumar Murty, Mel Nathanson, Ken Ono, Carl Pomerance, Bjorn Poonen, Wolfgang Schmidt, Chris Skinner, K. Soundararajan, Robert Tijdeman, Robert Vaughan, and Hugh Williams. The Proceedings Volumes of the conference review some of the major number theory achievements of this century and to chart some of the directions in which the subject will be heading during the new century. These volumes will serve as a useful reference to researchers in the area and an introduction to topics of current interest in number theory for a general audience in mathematics.

Five Decades as a Mathematician and Educator

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Publisher : World Scientific
ISBN 13 : 9789810223434
Total Pages : 634 pages
Book Rating : 4.2/5 (234 download)

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Book Synopsis Five Decades as a Mathematician and Educator by : Yung-Chow Wong

Download or read book Five Decades as a Mathematician and Educator written by Yung-Chow Wong and published by World Scientific. This book was released on 1995 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes topics such as: invariants of strongly pseudoconvex CR manifolds; the integral formulas of the Pontrjagin characteristic forms on an oriented differentiable manifold; the construction of tensor fields and connections on the frame bundle; and cellular manufacturing systems.

Analytic Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1475736215
Total Pages : 411 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Analytic Number Theory by : Chaohua Jia

Download or read book Analytic Number Theory written by Chaohua Jia and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: From September 13 to 17 in 1999, the First China-Japan Seminar on Number Theory was held in Beijing, China, which was organized by the Institute of Mathematics, Academia Sinica jointly with Department of Mathematics, Peking University. TE:m Japanese Professors and eighteen Chinese Professors attended this seminar. Professor Yuan Wang was the chairman, and Professor Chengbiao Pan was the vice-chairman. This seminar was planned and prepared by Professor Shigeru Kanemitsu and the first-named editor. Talks covered various research fields including analytic number theory, algebraic number theory, modular forms and transcendental number theory. The Great Wall and acrobatics impressed Japanese visitors. From November 29 to December 3 in 1999, an annual conference on analytic number theory was held in Kyoto, Japan, as one of the conferences supported by Research Institute of Mathematical Sciences (RIMS), Kyoto University. The organizer was the second-named editor. About one hundred Japanese scholars and some foreign visitors com ing from China, France, Germany and India attended this conference. Talks covered many branches in number theory. The scenery in Kyoto, Arashiyama Mountain and Katsura River impressed foreign visitors. An informal report of this conference was published as the volume 1160 of Surikaiseki Kenkyusho Kokyuroku (June 2000), published by RIMS, Ky oto University. The present book is the Proceedings of these two conferences, which records mainly some recent progress in number theory in China and Japan and reflects the academic exchanging between China and Japan.

Exponential Sums and their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401580324
Total Pages : 223 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Exponential Sums and their Applications by : N.M Korobov

Download or read book Exponential Sums and their Applications written by N.M Korobov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Number Theory with an Emphasis on the Markoff Spectrum

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Publisher : Routledge
ISBN 13 : 1351427768
Total Pages : 352 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Number Theory with an Emphasis on the Markoff Spectrum by : Andrew Pollington

Download or read book Number Theory with an Emphasis on the Markoff Spectrum written by Andrew Pollington and published by Routledge. This book was released on 2017-10-05 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the proceedings of a recently held conference in Provo, Utah, this reference provides original research articles in several different areas of number theory, highlighting the Markoff spectrum.;Detailing the integration of geometric, algebraic, analytic and arithmetic ideas, Number Theory with an Emphasis on the Markoff Spectrum contains refereed contributions on: general problems of diophantine approximation; quadratic forms and their connections with automorphic forms; the modular group and its subgroups; continued fractions; hyperbolic geometry; and the lower part of the Markoff spectrum.;Written by over 30 authorities in the field, this book should be a useful resource for research mathematicians in harmonic analysis, number theory algebra, geometry and probability and graduate students in these disciplines.

Analytic and Probabilistic Methods in Number Theory

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112314239
Total Pages : 400 pages
Book Rating : 4.1/5 (123 download)

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Book Synopsis Analytic and Probabilistic Methods in Number Theory by : F. Schweiger

Download or read book Analytic and Probabilistic Methods in Number Theory written by F. Schweiger and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Analytic and Probabilistic Methods in Number Theory".

Unusual Applications of Number Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827030
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Unusual Applications of Number Theory by : Melvyn Bernard Nathanson

Download or read book Unusual Applications of Number Theory written by Melvyn Bernard Nathanson and published by American Mathematical Soc.. This book was released on 2004 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the workshop held at the DIMACS Center of Rutgers University (Piscataway, NJ) on Unusual Applications of Number Theory. Standard applications of number theory are to computer science and cryptology. In this volume, well-known number theorist, Melvyn B. Nathanson, gathers articles from the workshop on other, less standard applications in number theory, as well as topics in number theory with potential applications in science and engineering. The material is suitable for graduate students and researchers interested in number theory and its applications.

Algebraic Number Theory and Diophantine Analysis

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Publisher : Walter de Gruyter
ISBN 13 : 3110801957
Total Pages : 573 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Algebraic Number Theory and Diophantine Analysis by : F. Halter-Koch

Download or read book Algebraic Number Theory and Diophantine Analysis written by F. Halter-Koch and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Number Theory and Cryptography

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Publisher : Cambridge University Press
ISBN 13 : 0521398770
Total Pages : 249 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Number Theory and Cryptography by : J. H. Loxton

Download or read book Number Theory and Cryptography written by J. H. Loxton and published by Cambridge University Press. This book was released on 1990-04-19 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers presented by prominent contributors at a workshop on Number Theory and Cryptography, and the annual meeting of the Australian Mathematical Society.

Dictionary of Inequalities

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Publisher : CRC Press
ISBN 13 : 1482237628
Total Pages : 390 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Dictionary of Inequalities by : Peter Bullen

Download or read book Dictionary of Inequalities written by Peter Bullen and published by CRC Press. This book was released on 2015-06-15 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adding new results that have appeared in the last 15 years, Dictionary of Inequalities, Second Edition provides an easy way for researchers to locate an inequality by name or subject. This edition offers an up-to-date, alphabetical listing of each inequality with a short statement of the result, some comments, references to related inequalities, an