The General Theory of Dirichlet's Series PDF Download
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Author: Godfrey Harold Hardy
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 100
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Book Description
This classic work by two distinguished mathematicians explains theory and formulas behind Dirichlet's series and offers first systematic account of Riesz's theory of summation of series by typical means. 1915 edition.
Author: Godfrey Harold Hardy
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 100
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Book Description
This classic work by two distinguished mathematicians explains theory and formulas behind Dirichlet's series and offers first systematic account of Riesz's theory of summation of series by typical means. 1915 edition.
Author: G. H. Hardy
Publisher: Cambridge University Press
ISBN: 1107493870
Category : Mathematics
Languages : en
Pages : 89
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Book Description
Originally published in 1915 as number eighteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, and here reissued in its 1952 reprinted form, this book contains a condensed account of Dirichlet's Series, which relates to number theory. This tract will be of value to anyone with an interest in the history of mathematics or in the work of G. H. Hardy.
Author: Tom M. Apostol
Publisher: Springer Science & Business Media
ISBN: 1468499106
Category : Mathematics
Languages : en
Pages : 207
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Book Description
This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology du ring the last 25 years. The second volume presupposes a background in number theory com parable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of the present volume is devoted to elliptic functions and modular functions with some of their number-theoretic applications. Among the major topics treated are Rademacher's convergent series for the partition function, Lehner's congruences for the Fourier coefficients of the modular functionj( r), and Hecke's theory of entire forms with multiplicative Fourier coefficients. The last chapter gives an account of Bohr's theory of equivalence of general Dirichlet series. Both volumes of this work emphasize classical aspects of a subject wh ich in recent years has undergone a great deal of modern development. It is hoped that these volumes will help the nonspecialist become acquainted with an important and fascinating part of mathematics and, at the same time, will provide some of the background that belongs to the repertory of every specialist in the field. This volume, like the first, is dedicated to the students who have taken this course and have gone on to make notable contributions to number theory and other parts of mathematics. T. M. A. January, 1976 * The first volume is in the Springer-Verlag series Undergraduate Texts in Mathematics under the title Introduction to Analytic Number Theory.
Author: Andreas Defant
Publisher: Cambridge University Press
ISBN: 1108476716
Category : Mathematics
Languages : en
Pages : 709
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Book Description
Using contemporary concepts, this book describes the interaction between Dirichlet series and holomorphic functions in high dimensions.
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 762
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Book Description
Author: Konrad Knopp
Publisher:
ISBN:
Category : Series, Infinite
Languages : en
Pages : 596
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Book Description
Trans from the 2nd German ed , pub 1923.
Author: Wladyslaw Narkiewicz
Publisher: Springer Science & Business Media
ISBN: 3662131579
Category : Mathematics
Languages : en
Pages : 457
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Book Description
1. People were already interested in prime numbers in ancient times, and the first result concerning the distribution of primes appears in Euclid's Elemen ta, where we find a proof of their infinitude, now regarded as canonical. One feels that Euclid's argument has its place in The Book, often quoted by the late Paul ErdOs, where the ultimate forms of mathematical arguments are preserved. Proofs of most other results on prime number distribution seem to be still far away from their optimal form and the aim of this book is to present the development of methods with which such problems were attacked in the course of time. This is not a historical book since we refrain from giving biographical details of the people who have played a role in this development and we do not discuss the questions concerning why each particular person became in terested in primes, because, usually, exact answers to them are impossible to obtain. Our idea is to present the development of the theory of the distribu tion of prime numbers in the period starting in antiquity and concluding at the end of the first decade of the 20th century. We shall also present some later developments, mostly in short comments, although the reader will find certain exceptions to that rule. The period of the last 80 years was full of new ideas (we mention only the applications of trigonometrical sums or the advent of various sieve methods) and certainly demands a separate book.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 440
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Book Description
Author: Hugh L. Montgomery
Publisher: Cambridge University Press
ISBN: 9780521849036
Category : Mathematics
Languages : en
Pages : 574
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Book Description
A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.
Author: Olav Arnfinn Laudal
Publisher: Springer Science & Business Media
ISBN: 3642189083
Category : Mathematics
Languages : en
Pages : 785
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Book Description
A unique series of fascinating research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields. Some of the authors have been specifically invited to present papers, discussing the influence of Abel in a mathematical-historical context. Others have submitted papers presented at the Abel Bicentennial Conference, Oslo June 3-8, 2002. The idea behind the book has been to produce a text covering a substantial part of the legacy of Abel, as perceived at the beginning of the 21st century.
