Recent Progress In Analytic Number Theory

Author : Heini Halberstam
Publisher :
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.44/5 ( download)

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Download or read book Recent Progress in Analytic Number Theory written by Heini Halberstam and published by . This book was released on 1981 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented in these two volumes were presented at the Durham Symposium of the London Mathematical Society, which was held on the campus of Durham University between July 22 and August 1, 1979, attended by eight mathematicians from around the world.

Author : Danyal Sadik
Publisher :
ISBN 13 : 9781681175652
Total Pages : 255 pages
Book Rating : 4.57/5 ( download)

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Download or read book Problems in Analytic Number Theory written by Danyal Sadik and published by . This book was released on 2016-08-01 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: "One might have thought that number theory was simply the study of numbers, but that is too broad a definition, since numbers are almost ubiquitous in mathematics. Number theory is a vast and fascinating field of mathematics, sometimes called ""higher arithmetic,"" consisting of the study of the properties of whole numbers. Primes and prime factorization are especially important in number theory, as are a number of functions such as the divisor function, Riemann zeta function, and totient function. Analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. Analytic number theory, and its applications and interactions, are currently experiencing intensive progress, in sometimes unexpected directions. In recent years, many important classical questions have seen spectacular advances based on new techniques; conversely, methods developed in analytic number theory have led to the solution of striking problems in other fields. Recent advances in analytic number theory have had repercussions in various mathematical subjects, such as harmonic analysis, ergodic theory and dynamics, additive and multiplicative combinatorics and theoretical computer science. The biggest technical change after 1950 has been the development of sieve methods, particularly in multiplicative problems. These are combinatorial in nature, and quite varied. The extremal branch of combinatorial theory has in return been greatly influenced by the value placed in analytic number theory on quantitative upper and lower bounds. Another recent development is probabilistic number theory, which uses methods from probability theory to estimate the distribution of number theoretic functions, such as how many prime divisors a number has. Problems in Analytic Number Theory present a problem-solving approach to the difficult subject of analytic number theory. This book is focused at researchers, teachers, and graduate students interested in number theory and its links with other branches of science."

Author : J. B. Friedlander
Publisher : Springer
ISBN 13 : 9783540363637
Total Pages : 217 pages
Book Rating : 4.37/5 ( download)

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Download or read book Analytic Number Theory written by J. B. Friedlander and published by Springer. This book was released on 2006-09-15 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four papers collected in this book discuss advanced results in analytic number theory, including recent achievements of sieve theory leading to asymptotic formulae for the number of primes represented by suitable polynomials; counting integer solutions to Diophantine equations, using results from algebraic geometry and the geometry of numbers; the theory of Siegel’s zeros and of exceptional characters of L-functions; and an up-to-date survey of the axiomatic theory of L-functions introduced by Selberg.

Author : Chaohua Jia
Publisher : Springer Science & Business Media
ISBN 13 : 1475736215
Total Pages : 411 pages
Book Rating : 4.12/5 ( download)

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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.

Author : Bruce C. Berndt
Publisher : Springer Science & Business Media
ISBN 13 : 1461240867
Total Pages : 453 pages
Book Rating : 4.60/5 ( download)

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Download or read book Analytic Number Theory written by Bruce C. Berndt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: On May 16 -20, 1995, approximately 150 mathematicians gathered at the Conference Center of the University of Illinois at Allerton Park for an Inter national Conference on Analytic Number Theory. The meeting marked the approaching official retirement of Heini Halberstam from the mathematics fac ulty of the University of Illinois at Urbana-Champaign. Professor Halberstam has been at the University since 1980, for 8 years as head of the Department of Mathematics, and has been a leading researcher and teacher in number theory for over forty years. The program included invited one hour lectures by G. Andrews, J. Bour gain, J. M. Deshouillers, H. Halberstam, D. R. Heath-Brown, H. Iwaniec, H. L. Montgomery, R. Murty, C. Pomerance, and R. C. Vaughan, and almost one hundred other talks of varying lengths. These volumes comprise contributions from most of the principal speakers and from many of the other participants, as well as some papers from mathematicians who were unable to attend. The contents span a broad range of themes from contemporary number theory, with the majority having an analytic flavor.

Author : Valentin Blomer
Publisher : Springer Science & Business Media
ISBN 13 : 1461412196
Total Pages : 301 pages
Book Rating : 4.99/5 ( download)

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Download or read book Contributions in Analytic and Algebraic Number Theory written by Valentin Blomer and published by Springer Science & Business Media. This book was released on 2011-11-19 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry. A portion of the collected contributions have been developed from lectures given at the "International Conference on the Occasion of the 60th Birthday of S. J. Patterson", held at the University Göttingen, July 27-29 2009. Many of the included chapters have been contributed by invited participants. This volume presents and investigates the most recent developments in various key topics in analytic number theory and several related areas of mathematics. The volume is intended for graduate students and researchers of number theory as well as applied mathematicians interested in this broad field.

Author : A. G. Postnikov
Publisher : American Mathematical Soc.
ISBN 13 : 0821813498
Total Pages : 332 pages
Book Rating : 4.92/5 ( download)

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Download or read book Introduction to Analytic Number Theory written by A. G. Postnikov and published by American Mathematical Soc.. This book was released on 1988-12-31 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at a level between textbooks and the latest research monographs, this book is directed at researchers, teachers, and graduate students interested in number theory and its connections with other branches of science. Choosing to emphasize topics not sufficiently covered in the literature, the author has attempted to give as broad a picture as possible of the problems of analytic number theory.

Author : John Knopfmacher
Publisher : Courier Dover Publications
ISBN 13 : 0486663442
Total Pages : 356 pages
Book Rating : 4.49/5 ( download)

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Download or read book Abstract Analytic Number Theory written by John Knopfmacher and published by Courier Dover Publications. This book was released on 1990-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Knopfmacher (1937-99) was a Professor of Mathematics at the University of the Witwatersrand in Johannesburg, South Africa. ...

Author : Pradip Debnath
Publisher : World Scientific
ISBN 13 : 9811272611
Total Pages : 463 pages
Book Rating : 4.15/5 ( download)

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Download or read book Advances In Number Theory And Applied Analysis written by Pradip Debnath and published by World Scientific. This book was released on 2023-05-08 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presently, the exploration of the applications of different techniques and tools of number theory and mathematical analysis are extensively prevalent in various areas of engineering, mathematical, physical, biological and statistical sciences. This book will present the most recent developments in these two fields through contributions from eminent scientists and mathematicians worldwide.The book will present the current state of the art development in these two areas through original new contributions and surveys. As such, readers will find several useful tools and techniques to develop their skills and expertise in number theory and applied analysis. New research directions are also indicated in each of the chapters. This book is meant for graduate students, faculty and researchers willing to expand their knowledge in number theory and mathematical analysis. The readers of this book will require minimum prerequisites of analysis, topology, number theory and functional analysis.

Author : Henryk Iwaniec
Publisher : American Mathematical Soc.
ISBN 13 : 0821836331
Total Pages : 632 pages
Book Rating : 4.30/5 ( download)

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Download or read book Analytic Number Theory written by Henryk Iwaniec and published by American Mathematical Soc.. This book was released on 2004 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic Number Theory distinguishes itself by the variety of tools it uses to establish results. One of the primary attractions of this theory is its vast diversity of concepts and methods. The main goals of this book are to show the scope of the theory, both in classical and modern directions, and to exhibit its wealth and prospects, beautiful theorems, and powerful techniques. The book is written with graduate students in mind, and the authors nicely balance clarity, completeness, and generality. The exercises in each section serve dual purposes, some intended to improve readers' understanding of the subject and others providing additional information. Formal prerequisites for the major part of the book do not go beyond calculus, complex analysis, integration, and Fourier series and integrals. In later chapters automorphic forms become important, with much of the necessary information about them included in two survey chapters.