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Cambridge Studies in Advanced Mathematics #14: Intro Theo Riemann Zeta Function

by

Cambridge Studies in Advanced Mathematics #14: Intro Theo Riemann Zeta Function Cover

 

Synopses & Reviews

Publisher Comments:

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

Synopsis:

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

Synopsis:

This modern introduction to the analytic techniques used in the investigation of zeta-function avoids technical results and the customary function-theoretic approach. Since Riemann's introduction, many other classes of "zeta-function" have been introduced and are now intensively studied.

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.

Product Details

ISBN:
9780521499057
Preface:
Patterson, Stephen J.
Author:
Patterson, Stephen J.
Preface by:
Patterson, Stephen J.
Preface:
Patterson, Stephen J.
Author:
Patterson, S. J.
Author:
Bollobas, B.
Author:
Sarnak, P.
Author:
Fulton, W.
Author:
Kirwan, F.
Author:
Patterson, Stephen J.
Author:
Katok, A.
Author:
Patterson
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
Mathematics
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Algebra
Subject:
Probability
Subject:
Number Theory
Subject:
Functions, Zeta.
Subject:
Riemann-Hilbert problems.
Subject:
Probability & Statistics - General
Subject:
Calculus Calculus
Subject:
Mathematics-Analysis General
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics (Paperback)
Series Volume:
14
Publication Date:
19950731
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Y
Pages:
172
Dimensions:
8.98x6.10x.43 in. .61 lbs.

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Related Subjects

History and Social Science » World History » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Cambridge Studies in Advanced Mathematics #14: Intro Theo Riemann Zeta Function New Trade Paper
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Product details 172 pages Cambridge University Press - English 9780521499057 Reviews:
"Synopsis" by , A modern introduction to the analytic techniques used in the investigation of zeta functions through the example of the Riemann zeta function.
"Synopsis" by , This modern introduction to the analytic techniques used in the investigation of zeta-function avoids technical results and the customary function-theoretic approach. Since Riemann's introduction, many other classes of "zeta-function" have been introduced and are now intensively studied.
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