The Theory Of The Riemann Zeta Function

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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.

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.

The Theory Of The Riemann Zeta Function

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Author : Edward Charles Titchmarsh
language : en
Publisher:
Release Date : 1960

The Theory Of The Riemann Zeta Function written by Edward Charles Titchmarsh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Functions, Zeta categories.

Contributions To The Theory Of The Riemann Zeta Function

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Author : Atle Selberg
language : en
Publisher:
Release Date : 1946

Contributions To The Theory Of The Riemann Zeta Function written by Atle Selberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1946 with categories.

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

The Theory Of The Riemann Zeta Function

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Author : William Temple
language : en
Publisher:
Release Date : 1951

The Theory Of The Riemann Zeta Function written by William Temple 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.

The Riemann Zeta Function The Theory Of The Riemann Zeta Function With Applications

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Author : Aleksandar Ivic
language : en
Publisher:
Release Date : 1985

The Riemann Zeta Function The Theory Of The Riemann Zeta Function With Applications written by Aleksandar Ivic and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

Spectral Theory Of The Riemann Zeta Function

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Author : Yoichi Motohashi
language : en
Publisher: Cambridge University Press
Release Date : 1997-09-11

Spectral Theory Of The Riemann Zeta Function written by Yoichi Motohashi 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 1997-09-11 with Mathematics categories.

The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own research, Professor Motohashi shows that the function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the zeta function itself. The story starts with an elementary but unabridged treatment of the spectral resolution of the non-Euclidean Laplacian and the trace formulas. This is achieved by the use of standard tools from analysis rather than any heavy machinery, forging a substantial aid for beginners in spectral theory as well. These ideas are then utilized to unveil an image of the zeta-function, first perceived by the author, revealing it to be the main gem of a necklace composed of all automorphic L-functions. In this book, readers will find a detailed account of one of the most fascinating stories in the development of number theory, namely the fusion of two main fields in mathematics that were previously studied separately.

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.

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