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The Theory of the Riemann Zeta-Function : Oxford Science Publications - E. C. Titchmarsh

The Theory of the Riemann Zeta-Function

Oxford Science Publications

Paperback Published: 1st January 1987
ISBN: 9780198533696
Number Of Pages: 422

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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.

Industry Reviews

`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

The Zeta Function and the Dirichlet Series Related to It
The Analytic Character of Zetas and the Functional Equation
The Theorem of Hadamard and De La Vallee Poussin, and Its Consequences
Approximate Formulae
The Order of Zetas in the Critical Strip VI. Vinogradov's Method
Mean-Value Theorems
(Capital Omega) Theorems
The General Distribution of Zeros
The Zeros on the Critical Line
The General Distribution of Values of Zetas
Divisor Problems
The Lindelof Hypothesis
Consequences of the Riemann Hypothesis
Calculations Relating to the Zeros
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780198533696
ISBN-10: 0198533691
Series: Oxford Science Publications
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 422
Published: 1st January 1987
Country of Publication: GB
Dimensions (cm): 23.47 x 15.7  x 2.64
Weight (kg): 0.7
Edition Number: 2
Edition Type: Revised

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