Sieve Methods, Exponential Sums, and Their Applications in Number Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Sieve Methods, Exponential Sums, and Their Applications in Number Theory PDF full book. Access full book title Sieve Methods, Exponential Sums, and Their Applications in Number Theory by G. R. H. Greaves. Download full books in PDF and EPUB format.
Author: G. R. H. Greaves
Publisher: Cambridge University Press
ISBN: 0521589576
Category : Mathematics
Languages : en
Pages : 360
Get Book Here
Book Description
State-of-the-art analytic number theory proceedings.
Author: G. R. H. Greaves
Publisher: Cambridge University Press
ISBN: 0521589576
Category : Mathematics
Languages : en
Pages : 360
Get Book Here
Book Description
State-of-the-art analytic number theory proceedings.
Author: G. R. H. Greaves
Publisher:
ISBN: 9781107367456
Category : Electronic books
Languages : en
Pages : 360
Get Book Here
Book Description
State-of-the-art analytic number theory proceedings.
Author: George Richard Herbert Greaves
Publisher:
ISBN: 9781107362543
Category : MATHEMATICS
Languages : en
Pages : 358
Get Book Here
Book Description
State-of-the-art analytic number theory proceedings.
Author: N.M Korobov
Publisher: Springer Science & Business Media
ISBN: 9401580324
Category : Mathematics
Languages : en
Pages : 223
Get Book Here
Book Description
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.
Author: George Greaves
Publisher: Springer Science & Business Media
ISBN: 366204658X
Category : Mathematics
Languages : en
Pages : 312
Get Book Here
Book Description
This book surveys the current state of the "small" sieve methods developed by Brun, Selberg and later workers. The book is suitable for university graduates making their first acquaintance with the subject, leading them towards the frontiers of modern research and unsolved problems in the subject area.
Author: Yoichi Motohashi
Publisher: Cambridge University Press
ISBN: 0521625122
Category : Mathematics
Languages : en
Pages : 396
Get Book Here
Book Description
Authoritative, up-to-date review of analytic number theory containing outstanding contributions from leading international figures.
Author: Bruce Berndt
Publisher: CRC Press
ISBN: 1000065286
Category : Mathematics
Languages : en
Pages : 368
Get Book Here
Book Description
This volume, based on fourteen papers from the Millennial Conference on Number Theory, represents surveys of topics in number theory and provides an outlook into the future of number theory research. It serves as an inspiration to graduate students and as a reference for research mathematicians.
Author: Shigeru Kanemitsu
Publisher: World Scientific
ISBN: 9814466247
Category : Mathematics
Languages : en
Pages : 267
Get Book Here
Book Description
This volume aims at collecting survey papers which give broad and enlightening perspectives of various aspects of number theory.Kitaoka's paper is a continuation of his earlier paper published in the last proceedings and pushes the research forward. Browning's paper introduces a new direction of research on analytic number theory — quantitative theory of some surfaces and Bruedern et al's paper details state-of-the-art affairs of additive number theory. There are two papers on modular forms — Kohnen's paper describes generalized modular forms (GMF) which has some applications in conformal field theory, while Liu's paper is very useful for readers who want to have a quick introduction to Maass forms and some analytic-number-theoretic problems related to them. Matsumoto et al's paper gives a very thorough survey on functional relations of root system zeta-functions, Hoshi-Miyake's paper is a continuation of Miyake's long and fruitful research on generic polynomials and gives rise to related Diophantine problems, and Jia's paper surveys some dynamical aspects of a special arithmetic function connected with the distribution of prime numbers. There are two papers of collections of problems by Shparlinski on exponential and character sums and Schinzel on polynomials which will serve as an aid for finding suitable research problems. Yamamura's paper is a complete bibliography on determinant expressions for a certain class number and will be useful to researchers.Thus the book gives a good-balance of classical and modern aspects in number theory and will be useful to researchers including enthusiastic graduate students.
Author: Shigeru Kanemitsu
Publisher: World Scientific
ISBN: 9814452467
Category : Mathematics
Languages : en
Pages : 273
Get Book Here
Book Description
This volume is based on the successful 6th China-Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory — additive problems, divisor problems, Diophantine equations — to elliptic curves and automorphic L-functions. It contains new developments in number theory and the topics complement the existing two volumes from the previous seminars which can be found in the same book series.
Author: Takashi Aoki
Publisher: World Scientific
ISBN: 9814289922
Category : Mathematics
Languages : en
Pages : 267
Get Book Here
Book Description
This volume aims at collecting survey papers which give broad and enlightening perspectives of various aspects of number theory. Kitaoka''s paper is a continuation of his earlier paper published in the last proceedings and pushes the research forward. Browning''s paper introduces a new direction of research on analytic number theory OCo quantitative theory of some surfaces and Bruedern et al ''s paper details state-of-the-art affairs of additive number theory. There are two papers on modular forms OCo Kohnen''s paper describes generalized modular forms (GMF) which has some applications in conformal field theory, while Liu''s paper is very useful for readers who want to have a quick introduction to Maass forms and some analytic-number-theoretic problems related to them. Matsumoto et al ''s paper gives a very thorough survey on functional relations of root system zeta-functions, HoshiOCoMiyake''s paper is a continuation of Miyake''s long and fruitful research on generic polynomials and gives rise to related Diophantine problems, and Jia''s paper surveys some dynamical aspects of a special arithmetic function connected with the distribution of prime numbers. There are two papers of collections of problems by Shparlinski on exponential and character sums and Schinzel on polynomials which will serve as an aid for finding suitable research problems. Yamamura''s paper is a complete bibliography on determinant expressions for a certain class number and will be useful to researchers. Thus the book gives a good-balance of classical and modern aspects in number theory and will be useful to researchers including enthusiastic graduate students. Sample Chapter(s). Chapter 1: Resent Progress on the Quantitative Arithmetic of Del Pezzo Surfaces (329 KB). Contents: Recent Progress on the Quantitative Arithmetic of Del Pezzo Surfaces (T D Browning); Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review (J Brdern et al.); Recent Progress on Dynamics of a Special Arithmetic Function (C-H Jia); Some Diophantine Problems Arising from the Isomorphism Problem of Generic Polynomials (A Hoshi & K Miyake); A Statistical Relation of Roots of a Polynomial in Different Local Fields II (Y Kitaoka); Generalized Modular Functions and Their Fourier Coefficients (W Kohnen); Functional Relations for Zeta-Functions of Root Systems (Y Komori et al.); A Quick Introduction to Maass Forms (J-Y Liu); The Number of Non-Zero Coefficients of a Polynomial-Solved and Unsolved Problems (A Schinzel); Open Problems on Exponential and Character Sums (I E Shparlinski); Errata to OC A General Modular Relation in Analytic Number TheoryOCO (H Tsukada); Bibliography on Determinantal Expressions of Relative Class Numbers of Imaginary Abelian Number Fields (K Yamamura). Readership: Graduate students and researchers in mathematics.
