Abstract Analytic Number Theory
DOWNLOAD
Download Abstract Analytic Number Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Abstract Analytic Number Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Abstract Analytic Number Theory
DOWNLOAD
Author : John Knopfmacher
language : en
Publisher: Newnes
Release Date : 1975
Abstract Analytic Number Theory written by John Knopfmacher and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
The purpose of this book is to provide a detailed introduction to arithmetical semigroups and algebraic enumeration problems, arithmetical semigroups with analytical properties of classical type, and analytical properties of other arithmetical systems. These systems are considered in detail, yet should be accessible to readers with only a moderate mathematical background--three years of university mathematics should be sufficient.
Abstract Analytic Number Theory
DOWNLOAD
Author : Knopfmacher
language : en
Publisher: Newnes
Release Date : 2009-02-04
Abstract Analytic Number Theory written by Knopfmacher and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-04 with Technology & Engineering categories.
North-Holland Mathematical Library, Volume 12: Abstract Analytic Number Theory focuses on the approaches, methodologies, and principles of the abstract analytic number theory. The publication first deals with arithmetical semigroups, arithmetical functions, and enumeration problems. Discussions focus on special functions and additive arithmetical semigroups, enumeration and zeta functions in special cases, infinite sums and products, double series and products, integral domains and arithmetical semigroups, and categories satisfying theorems of the Krull-Schmidt type. The text then ponders on semigroups satisfying Axiom A, asymptotic enumeration and "statistical" properties of arithmetical functions, and abstract prime number theorem. Topics include asymptotic properties of prime-divisor functions, maximum and minimum orders of magnitude of certain functions, asymptotic enumeration in certain categories, distribution functions of prime-independent functions, and approximate average values of special arithmetical functions. The manuscript takes a look at arithmetical formations, additive arithmetical semigroups, and Fourier analysis of arithmetical functions, including Fourier theory of almost even functions, additive abstract prime number theorem, asymptotic average values and densities, and average values of arithmetical functions over a class. The book is a vital reference for researchers interested in the abstract analytic number theory.
Analytic Number Theory
DOWNLOAD
Author : B. Berndt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analytic Number Theory written by B. Berndt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
On April 25-27, 1989, over a hundred mathematicians, including eleven from abroad, gathered at the University of Illinois Conference Center at Allerton Park for a major conference on analytic number theory. The occa sion marked the seventieth birthday and impending (official) retirement of Paul T. Bateman, a prominent number theorist and member of the mathe matics faculty at the University of Illinois for almost forty years. For fifteen of these years, he served as head of the mathematics department. The conference featured a total of fifty-four talks, including ten in vited lectures by H. Delange, P. Erdos, H. Iwaniec, M. Knopp, M. Mendes France, H. L. Montgomery, C. Pomerance, W. Schmidt, H. Stark, and R. C. Vaughan. This volume represents the contents of thirty of these talks as well as two further contributions. The papers span a wide range of topics in number theory, with a majority in analytic number theory.
Analytic Number Theory The Halberstam Festschrift 2
DOWNLOAD
Author : Bruce C. Berndt
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-05-01
Analytic Number Theory The Halberstam Festschrift 2 written by Bruce C. Berndt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-01 with Mathematics categories.
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.
Abstract Analytic Number Theory
DOWNLOAD
Author : John Knopfmacher
language : en
Publisher:
Release Date : 1975
Abstract Analytic Number Theory written by John Knopfmacher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Nombres, Théorie des categories.
Geometric And Analytic Number Theory
DOWNLOAD
Author : Edmund Hlawka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geometric And Analytic Number Theory written by Edmund Hlawka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In the English edition, the chapter on the Geometry of Numbers has been enlarged to include the important findings of H. Lenstraj furthermore, tried and tested examples and exercises have been included. The translator, Prof. Charles Thomas, has solved the difficult problem of the German text into English in an admirable way. He deserves transferring our 'Unreserved praise and special thailks. Finally, we would like to express our gratitude to Springer-Verlag, for their commitment to the publication of this English edition, and for the special care taken in its production. Vienna, March 1991 E. Hlawka J. SchoiBengeier R. Taschner Preface to the German Edition We have set ourselves two aims with the present book on number theory. On the one hand for a reader who has studied elementary number theory, and who has knowledge of analytic geometry, differential and integral calculus, together with the elements of complex variable theory, we wish to introduce basic results from the areas of the geometry of numbers, diophantine ap proximation, prime number theory, and the asymptotic calculation of number theoretic functions. However on the other hand for the student who has al ready studied analytic number theory, we also present results and principles of proof, which until now have barely if at all appeared in text books.
Problems In Analytic Number Theory
DOWNLOAD
Author : M. Ram Murty
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-16
Problems In Analytic Number Theory written by M. Ram Murty and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-16 with Mathematics categories.
This informative and exhaustive study gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory. The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on the arithmetic progression of primes.
Problems In Analytic Number Theory
DOWNLOAD
Author : U.S.R. Murty
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Problems In Analytic Number Theory written by U.S.R. Murty and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
"In order to become proficient in mathematics, or in any subject," writes Andre Weil, "the student must realize that most topics in volve only a small number of basic ideas. " After learning these basic concepts and theorems, the student should "drill in routine exercises, by which the necessary reflexes in handling such concepts may be ac quired. . . . There can be no real understanding of the basic concepts of a mathematical theory without an ability to use them intelligently and apply them to specific problems. " Weil's insightfulobservation becomes especially important at the graduate and research level. It is the viewpoint of this book. Our goal is to acquaint the student with the methods of analytic number theory as rapidly as possible through examples and exercises. Any landmark theorem opens up a method of attacking other problems. Unless the student is able to sift out from the mass of theory the underlying techniques, his or her understanding will only be academic and not that of a participant in research. The prime number theorem has given rise to the rich Tauberian theory and a general method of Dirichlet series with which one can study the asymptotics of sequences. It has also motivated the development of sieve methods. We focus on this theme in the book. We also touch upon the emerging Selberg theory (in Chapter 8) and p-adic analytic number theory (in Chapter 10).
Analytic And Probabilistic Methods In Number Theory
DOWNLOAD
Author : F. Schweiger
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Analytic And Probabilistic Methods In Number Theory written by F. Schweiger and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Mathematics categories.
No detailed description available for "Analytic and Probabilistic Methods in Number Theory".
Analytic Number Theory An Introductory Course
DOWNLOAD
Author : Paul Trevier Bateman
language : en
Publisher: World Scientific
Release Date : 2004-09-07
Analytic Number Theory An Introductory Course written by Paul Trevier Bateman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-07 with Mathematics categories.
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/.