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Additive Theory Of Prime Numbers
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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.
Book Synopsis Additive Theory of prime Numbers by : L. K. Hua
Download or read book Additive Theory of prime Numbers written by L. K. Hua and published by . This book was released on 1965 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Jianya Liu Publisher :World Scientific Publishing Company Incorporated ISBN 13 :9789812775924 Total Pages :200 pages Book Rating :4.7/5 (759 download)
Book Synopsis New Developments in the Additive Theory of Prime Numbers by : Jianya Liu
Download or read book New Developments in the Additive Theory of Prime Numbers written by Jianya Liu and published by World Scientific Publishing Company Incorporated. This book was released on 2020-02-28 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Additive theory of prime numbers by :
Download or read book Additive theory of prime numbers written by and published by . This book was released on 1966 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Additive theory of prime numbers by : Loo-Keng Hua
Download or read book Additive theory of prime numbers written by Loo-Keng Hua and published by . This book was released on 1966 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Additive Theory of Prime Numbers by : Warner Berthoff
Download or read book Additive Theory of Prime Numbers written by Warner Berthoff and published by . This book was released on 1965 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Additive Theory of Prime Numbers by : Loo-Keng Hua (Mathematician, China)
Download or read book Additive Theory of Prime Numbers written by Loo-Keng Hua (Mathematician, China) and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Additive Theory of Prime Numbers by : Hou Loo Keng
Download or read book Additive Theory of Prime Numbers written by Hou Loo Keng and published by . This book was released on 1953 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Additive Theory of Prime Numbers. Hua by : Lo-Keng Hua
Download or read book Additive Theory of Prime Numbers. Hua written by Lo-Keng Hua and published by . This book was released on 1965 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Additive Theory of Prime Numbers, by L.K. Hua. [Translated from the Chinese by N.H. Ng]. by : Lo-kêng Hua
Download or read book Additive Theory of Prime Numbers, by L.K. Hua. [Translated from the Chinese by N.H. Ng]. written by Lo-kêng Hua and published by . This book was released on 1965 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Number Theory written by Benjamin Fine and published by Springer Science & Business Media. This book was released on 2007-06-04 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. Analytic number theory and algebraic number theory both receive a solid introductory treatment. The book’s user-friendly style, historical context, and wide range of exercises make it ideal for self study and classroom use.
Book Synopsis Additive Number Theory of Polynomials Over a Finite Field by : Gove W. Effinger
Download or read book Additive Number Theory of Polynomials Over a Finite Field written by Gove W. Effinger and published by . This book was released on 1991 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book helps gather the sum of additive number theory.
Book Synopsis Irregularities in the Distribution of Prime Numbers by : János Pintz
Download or read book Irregularities in the Distribution of Prime Numbers written by János Pintz and published by Springer. This book was released on 2018-07-04 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes. Written by an international group of experts, contributions present a self-contained yet unified exploration of a rapidly progressing area. Emphasis is given to the research inspired by Maier’s matrix method, which established a newfound understanding of the distribution of primes. Additionally, the book provides an historical overview of a large body of research in analytic number theory and approximation theory. The papers published within are intended as reference tools for graduate students and researchers in mathematics.
Book Synopsis Rational Number Theory in the 20th Century by : Władysław Narkiewicz
Download or read book Rational Number Theory in the 20th Century written by Władysław Narkiewicz and published by Springer Science & Business Media. This book was released on 2011-09-02 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Additive Combinatorics by : Terence Tao
Download or read book Additive Combinatorics written by Terence Tao and published by Cambridge University Press. This book was released on 2006-09-14 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as Szemerédi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.
Book Synopsis Elementary Methods in Number Theory by : Melvyn B. Nathanson
Download or read book Elementary Methods in Number Theory written by Melvyn B. Nathanson and published by Springer Science & Business Media. This book was released on 2008-01-11 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This basic introduction to number theory is ideal for those with no previous knowledge of the subject. The main topics of divisibility, congruences, and the distribution of prime numbers are covered. Of particular interest is the inclusion of a proof for one of the most famous results in mathematics, the prime number theorem. With many examples and exercises, and only requiring knowledge of a little calculus and algebra, this book will suit individuals with imagination and interest in following a mathematical argument to its conclusion.