Download Full eBooks in PDF
A Primer Of Analytic Number Theory Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of A Primer Of Analytic Number Theory book. This book definitely worth reading, it is an incredibly well-written.
Author : Jeffrey Stopple
Publisher : Cambridge University Press
Page : 404 pages
File Size : 54,8 Mb
Release : 2003-06-23
Category : Mathematics
ISBN : 0521012538
An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course.
Author : John Knopfmacher
Publisher : Courier Dover Publications
Page : 356 pages
File Size : 51,8 Mb
Release : 2015-03-17
Category : Mathematics
ISBN : 9780486169347
Innovative study applies classical analytic number theory to nontraditional subjects. Covers arithmetical semigroups and algebraic enumeration problems, arithmetical semigroups with analytical properties of classical type, and analytical properties of other arithmetical systems. 1975 edition.
Author : Jeffrey Stopple
Publisher : Cambridge University Press
Page : 398 pages
File Size : 45,8 Mb
Release : 2003-06-23
Category : Mathematics
ISBN : 0521813093
This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal numbers, perfect numbers and amicable pairs, as well as to the important open problems. The culmination of the book is a brief presentation of the Riemann zeta function, which determines the distribution of prime numbers, and of the significance of the Riemann Hypothesis.
Author : Bateman Paul Trevier,Diamond Harold G
Publisher : World Scientific
Page : 376 pages
File Size : 47,8 Mb
Release : 2004-09-07
Category : Mathematics
ISBN : 9789814365567
This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed.Comments and corrigenda for the book are found at www.math.uiuc.edu/~diamond/.
Author : A. G. Postnikov
Publisher : American Mathematical Soc.
Page : 332 pages
File Size : 51,9 Mb
Release : 1988-12-31
Category : Mathematics
ISBN : 9780821813492
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 : M. Ram Murty
Publisher : American Mathematical Soc.
Page : 149 pages
File Size : 51,6 Mb
Release : 2009-02-09
Category : Number theory
ISBN : 9780821847749
This book is an elementary introduction to $p$-adic analysis from the number theory perspective. With over 100 exercises included, it will acquaint the non-expert to the basic ideas of the theory and encourage the novice to enter this fertile field of research. The main focus of the book is the study of $p$-adic $L$-functions and their analytic properties. It begins with a basic introduction to Bernoulli numbers and continues with establishing the Kummer congruences. These congruences are then used to construct the $p$-adic analog of the Riemann zeta function and $p$-adic analogs of Dirichlet's $L$-functions. Featured is a chapter on how to apply the theory of Newton polygons to determine Galois groups of polynomials over the rational number field. As motivation for further study, the final chapter introduces Iwasawa theory.
Author : Donald J. Newman
Publisher : Springer Science & Business Media
Page : 80 pages
File Size : 40,9 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387227405
Some of the central topics in number theory, presnted in a simple and concise fashion. The author covers an amazing amount of material, despite a leisurely pace and emphasis on readability. His heartfelt enthusiasm enables readers to see what is magical about the subject. All the topics are presented in a refreshingly elegant and efficient manner with clever examples and interesting problems throughout. The text is suitable for a graduate course in analytic number theory.
Author : Heng Huat Chan
Publisher : World Scientific Publishing Company
Page : 128 pages
File Size : 44,5 Mb
Release : 2009-04-21
Category : Mathematics
ISBN : 9789814365277
This book is written for undergraduates who wish to learn some basic results in analytic number theory. It covers topics such as Bertrand's Postulate, the Prime Number Theorem and Dirichlet's Theorem of primes in arithmetic progression. The materials in this book are based on A Hildebrand's 1991 lectures delivered at the University of Illinois at Urbana-Champaign and the author's course conducted at the National University of Singapore from 2001 to 2008.
Author : Anatolij A. Karatsuba
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642580185
This English translation of Karatsuba's Basic Analytic Number Theory follows closely the second Russian edition, published in Moscow in 1983. For the English edition, the author has considerably rewritten Chapter I, and has corrected various typographical and other minor errors throughout the the text. August, 1991 Melvyn B. Nathanson Introduction to the English Edition It gives me great pleasure that Springer-Verlag is publishing an English trans lation of my book. In the Soviet Union, the primary purpose of this monograph was to introduce mathematicians to the basic results and methods of analytic number theory, but the book has also been increasingly used as a textbook by graduate students in many different fields of mathematics. I hope that the English edition will be used in the same ways. I express my deep gratitude to Professor Melvyn B. Nathanson for his excellent translation and for much assistance in correcting errors in the original text. A.A. Karatsuba Introduction to the Second Russian Edition Number theory is the study of the properties of the integers. Analytic number theory is that part of number theory in which, besides purely number theoretic arguments, the methods of mathematical analysis play an essential role.
Author : Carlos J. Moreno
Publisher : American Mathematical Soc.
Page : 313 pages
File Size : 51,6 Mb
Release : 2005
Category : Algebraic number theory
ISBN : 9780821842669
Since the pioneering work of Euler, Dirichlet, and Riemann, the analytic properties of L-functions have been used to study the distribution of prime numbers. With the advent of the Langlands Program, L-functions have assumed a greater role in the study of the interplay between Diophantine questions about primes and representation theoretic properties of Galois representations. This book provides a complete introduction to the most significant class of L-functions: the Artin-Hecke L-functions associated to finite-dimensional representations of Weil groups and to automorphic L-functions of principal type on the general linear group. In addition to establishing functional equations, growth estimates, and non-vanishing theorems, a thorough presentation of the explicit formulas of Riemann type in the context of Artin-Hecke and automorphic L-functions is also given. The survey is aimed at mathematicians and graduate students who want to learn about the modern analytic theory of L-functions and their applications in number theory and in the theory of automorphic representations. The requirements for a profitable study of this monograph are a knowledge of basic number theory and the rudiments of abstract harmonic analysis on locally compact abelian groups.
Author : Komaravolu Chandrasekharan
Publisher : Springer Science & Business Media
Page : 151 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642461248
This book has grown out of a course of lectures I have given at the Eidgenossische Technische Hochschule, Zurich. Notes of those lectures, prepared for the most part by assistants, have appeared in German. This book follows the same general plan as those notes, though in style, and in text (for instance, Chapters III, V, VIII), and in attention to detail, it is rather different. Its purpose is to introduce the non-specialist to some of the fundamental results in the theory of numbers, to show how analytical methods of proof fit into the theory, and to prepare the ground for a subsequent inquiry into deeper questions. It is pub lished in this series because of the interest evinced by Professor Beno Eckmann. I have to acknowledge my indebtedness to Professor Carl Ludwig Siegel, who has read the book, both in manuscript and in print, and made a number of valuable criticisms and suggestions. Professor Raghavan Narasimhan has helped me, time and again, with illuminating comments. Dr. Harold Diamond has read the proofs, and helped me to remove obscurities. I have to thank them all. K.C.
Author : Tom M. Apostol
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 49,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475755794
"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-—MATHEMATICAL REVIEWS
Author : Jean-Marie De Koninck,Florian Luca
Publisher : American Mathematical Soc.
Page : 414 pages
File Size : 53,6 Mb
Release : 2012-05-02
Category : Mathematics
ISBN : 9780821875773
The authors assemble a fascinating collection of topics from analytic number theory that provides an introduction to the subject with a very clear and unique focus on the anatomy of integers, that is, on the study of the multiplicative structure of the integers. Some of the most important topics presented are the global and local behavior of arithmetic functions, an extensive study of smooth numbers, the Hardy-Ramanujan and Landau theorems, characters and the Dirichlet theorem, the $abc$ conjecture along with some of its applications, and sieve methods. The book concludes with a whole chapter on the index of composition of an integer. One of this book's best features is the collection of problems at the end of each chapter that have been chosen carefully to reinforce the material. The authors include solutions to the even-numbered problems, making this volume very appropriate for readers who want to test their understanding of the theory presented in the book.
Author : J. B. Friedlander,D. R. Heath-Brown,Henryk Iwaniec,J. Kaczorowski
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 47,9 Mb
Release : 2006
Category : Electronic
ISBN : 9783540363637
Author : Peter D. T. A. Elliott
Publisher : Cambridge University Press
Page : 368 pages
File Size : 41,7 Mb
Release : 1997-02-13
Category : Mathematics
ISBN : 9780521560887
Deals with analytic number theory; many new results.