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Theory of the Riemann Zeta-Function- 2nd Edition Paperback - Oxford Science Pub.
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N.º de artículo de eBay:376448915055
Características del artículo
- Estado
- Book Title
- Theory of the Riemann Zeta-Function
- ISBN
- 9780198533696
Acerca de este producto
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0198533691
ISBN-13
9780198533696
eBay Product ID (ePID)
1535182
Product Key Features
Number of Pages
424 Pages
Language
English
Publication Name
Theory of the Riemann Zeta-Function
Subject
Geometry / Differential, Applied
Publication Year
1987
Features
Revised
Type
Textbook
Subject Area
Mathematics
Format
Uk-Trade Paper
Dimensions
Item Height
0.9 in
Item Weight
21.8 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Edition Number
2
Intended Audience
College Audience
LCCN
86-012520
TitleLeading
The
Reviews
"The first edition of this classical treatise appeared in 1951 . . . Besides writing the updating and elucidating notes, covering all in all over 50 pages, the editor also has compiled a list of some 120 additional references to the more recent literature on the zeta-function. Thanks to the ample new material, this new edition makes very interesting reading, even for those who are familiar with the original." --Mathematical Reviews "A reprinting of this classic treatise with corrections and extensive end-of-chapter notes by D.R. Heath-Brown." --The American Mathematical Monthly, 'A simple reprint of Titchmarsh's classic work would have been very welcome. This revised edition is doubly welcome since Heath-Brown has provided notes at the end of each chapter giving detailed accounts... of the many important developments that have been made in the last 35 years.'Mathematika, "The first edition of this classical treatise appeared in 1951 . . . Besides writing the updating and elucidating notes, covering all in all over 50 pages, the editor also has compiled a list of some 120 additional references to the more recent literature on the zeta-function. Thanks to the ample new material, this new edition makes very interesting reading, even for those who are familiar with the original." --Mathematical Reviews "Despite its age this is probably the most-cited book on the zeta function... The book is very comprehensive, and covers nearly anything anyone would want to know about the zeta function." -- MAA Reviews "A reprinting of this classic treatise with corrections and extensive end-of-chapter notes by D.R. Heath-Brown." --The American Mathematical Monthly, "The first edition of this classical treatise appeared in 1951 . . . Besides writing the updating and elucidating notes, covering all in all over 50 pages, the editor also has compiled a list of some 120 additional references to the more recent literature on the zeta-function. Thanks to the ample new material, this new edition makes very interesting reading, even for those who are familiar with the original." --Mathematical Reviews"Despite its age this is probably the most-cited book on the zeta function... The book is very comprehensive, and covers nearly anything anyone would want to know about the zeta function." -- MAA Reviews"A reprinting of this classic treatise with corrections and extensive end-of-chapter notes by D.R. Heath-Brown." --The American Mathematical Monthly, 'very fine second edition of an important book.'Bulletin of the London Mathematical Society'A simple reprint of Titchmarsh's classic work would have been very welcome. This revised edition is doubly welcome since Heath-Brown has provided notes at the end of each chapter giving detailed accounts... of the many important developments that have been made in the last 35 years.'Mathematika
Dewey Decimal
517.5
Edition Description
Revised edition
Table Of Content
I. The Zeta Function and the Dirichlet Series Related to ItII. The Analytic Character of Zetas and the Functional EquationIII. The Theorem of Hadamard and De La Vallee Poussin, and Its ConsequencesIV. Approximate FormulaeV. The Order of Zetas in the Critical StripVI. Vinogradov's MethodVII. Mean-Value TheoremsVIII. (Capital Omega) TheoremsIX. The General Distribution of ZerosX. The Zeros on the Critical LineXI. The General Distribution of Values of ZetasXII. Divisor ProblemsXIII. The Lindelöf HypothesisXIV. Consequences of the Riemann HypothesisXV. Calculations Relating to the Zeros
Synopsis
The Riemann zeta-function embodies both additive and multiplicative structures in a single function, making it our most important tool in the study of prime numbers. This volume studies all aspects of the theory, starting from first principles and probing the function's own challenging theory, with the famous and still unsolved "Riemann hypothesis" at its heart. The second edition has been revised to include descriptions of work done in the last forty years and is updated with many additional references; it will provide stimulating reading for postgraduates and workers in analytic number theory and classical analysis., The Riemann zeta-function is our most important tool in the study of prime numbers, and yet the famous "Riemann hypothesis" at its core remains unsolved. This book studies the theory from every angle and includes new material on recent work.
LC Classification Number
QA246.T44 1986
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