An Introduction to the Theory of the Riemann Zeta-Function

An Introduction to the Theory of the Riemann Zeta-Function

by S. J. Patterson
     
 

This is a modern introduction to the analytic techniques used in the investigation of zeta functions through the example of the Riemann zeta function.See more details below

Overview

This is a modern introduction to the analytic techniques used in the investigation of zeta functions through the example of the Riemann zeta function.

Product Details

ISBN-13:
9780521499057
Publisher:
Cambridge University Press
Publication date:
07/28/1995
Series:
Cambridge Studies in Advanced Mathematics Series, #14
Edition description:
New Edition
Pages:
172
Sales rank:
969,928
Product dimensions:
5.98(w) x 8.98(h) x 0.39(d)

Table of Contents

1. Historical introduction; 2. The Poisson summation formula and the functional equation; 3. The Hadamard product formula and 'explicit formulae' of prime number theory; 4. The zeros of the zeta function and the prime number theorem; 5. The Riemann hypothesis and the Lindelöf hypothesis; 6. The approximate functional equation; Appendix 1. Fourier theory; 2. The Mellin transform; 3. An estimate for certain integrals; 4. The gamma function; 5. Integral functions of finite order; 6. Borel–Caratheodory theorems; 7. Littlewood's theorem.

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