An Introduction To The Theory Of The Riemann Zeta Function
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An Introduction To The Theory Of The Riemann Zeta Function
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Author : S. J. Patterson
language : en
Publisher: Cambridge University Press
Release Date : 1995-02-02
An Introduction To The Theory Of The Riemann Zeta Function written by S. J. Patterson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-02 with Mathematics categories.
An introduction to the analytic techniques used in the investigation of zeta functions through the example of the Riemann zeta function. It emphasizes central ideas of broad application, avoiding technical results and the customary function-theoretic appro
An Introduction To The Theory Of The Riemann Zeta Function
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Author : S. J. Patterson
language : en
Publisher: Cambridge University Press
Release Date : 1995-02-02
An Introduction To The Theory Of The Riemann Zeta Function written by S. J. Patterson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-02 with Mathematics categories.
This is a modern introduction to the analytic techniques used in the investigation of zeta functions, through the example of the Riemann zeta function. Riemann introduced this function in connection with his study of prime numbers and from this has developed the subject of analytic number theory. Since then many other classes of 'zeta function' have been introduced and they are now some of the most intensively studied objects in number theory. Professor Patterson has emphasised central ideas of broad application, avoiding technical results and the customary function-theoretic approach. Thus, graduate students and non-specialists will find this an up-to-date and accessible introduction, especially for the purposes of algebraic number theory. There are many exercises included throughout, designed to encourage active learning.
An Introduction To The Theory Of Local Zeta Functions
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Author : Jun-ichi Igusa
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
An Introduction To The Theory Of Local Zeta Functions written by Jun-ichi Igusa and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This book is an introductory presentation to the theory of local zeta functions. Viewed as distributions, and mostly in the archimedean case, local zeta functions are also called complex powers. The volume contains major results on analytic and algebraic properties of complex powers by Atiyah, Bernstein, I. M. Gelfand, S. I. Gelfand, and Sato. Chapters devoted to $p$-adic local zeta functions present Serre's structure theorem, a rationality theorem, and many examples found by the author. The presentation concludes with theorems by Denef and Meuser. Information for our distributors: Titles in this series are co-published with International Press, Cambridge, MA.
The Riemann Hypothesis
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Author : Peter B. Borwein
language : en
Publisher: Springer Science & Business Media
Release Date : 2008
The Riemann Hypothesis written by Peter B. Borwein 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 with Mathematics categories.
The Riemann Hypothesis has become the Holy Grail of mathematics in the century and a half since 1859 when Bernhard Riemann, one of the extraordinary mathematical talents of the 19th century, originally posed the problem. While the problem is notoriously difficult, and complicated even to state carefully, it can be loosely formulated as "the number of integers with an even number of prime factors is the same as the number of integers with an odd number of prime factors." The Hypothesis makes a very precise connection between two seemingly unrelated mathematical objects, namely prime numbers and the zeros of analytic functions. If solved, it would give us profound insight into number theory and, in particular, the nature of prime numbers. This book is an introduction to the theory surrounding the Riemann Hypothesis. Part I serves as a compendium of known results and as a primer for the material presented in the 20 original papers contained in Part II. The original papers place the material into historical context and illustrate the motivations for research on and around the Riemann Hypothesis. Several of these papers focus on computation of the zeta function, while others give proofs of the Prime Number Theorem, since the Prime Number Theorem is so closely connected to the Riemann Hypothesis. The text is suitable for a graduate course or seminar or simply as a reference for anyone interested in this extraordinary conjecture.
The Theory Of The Riemann Zeta Function
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Author : Edward Charles Titchmarsh
language : en
Publisher: Oxford University Press
Release Date : 1986
The Theory Of The Riemann Zeta Function written by Edward Charles Titchmarsh and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
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.
The Theory Of The Riemann Zeta Function
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Author :
language : en
Publisher:
Release Date : 1951
The Theory Of The Riemann Zeta Function written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1951 with categories.
Theory Of Functions
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Author : Titchmarch E. C.
language : en
Publisher:
Release Date : 1992
Theory Of Functions written by Titchmarch E. C. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
The Theory Of The Riemann Zeta Function
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Author : E. C. Titchmarsh
language : en
Publisher:
Release Date : 1967
The Theory Of The Riemann Zeta Function written by E. C. Titchmarsh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Functions, Zeta categories.
The Riemann Zeta Function
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Author : Anatoly A. Karatsuba
language : en
Publisher: Walter de Gruyter
Release Date : 2011-05-03
The Riemann Zeta Function written by Anatoly A. Karatsuba and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-03 with Mathematics categories.
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
The Riemann Zeta Function
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Author : Aleksandar Ivic
language : en
Publisher: Courier Corporation
Release Date : 2012-07-12
The Riemann Zeta Function written by Aleksandar Ivic and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-12 with Mathematics categories.
This text covers exponential integrals and sums, 4th power moment, zero-free region, mean value estimates over short intervals, higher power moments, omega results, zeros on the critical line, zero-density estimates, and more. 1985 edition.