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## Cambridge Studies in Mathematics 14: An Introduction to the Theory of the Riemann Zeta-Function (Softcover)"This is a modern introduction to the analytic techniques used in the investigation of zeta-functions through the example of the Riemann zeta-function." — From the back cover ## $19.79 |

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Please contact us if you've got questions about this product.## Condition

**GOOD:** The book is in excellent condition; however, a previous owner’s name has been written on the front end page. All other pages are free of writing.

## Description

From the back cover: “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 intensely studied objects in number theory.

“Professor Patterson has emphasized central ideas of broad applications, 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, signed to encourage active learning.”

**BRIEF CONTENTS**

- Preface
- 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 Hyposthesis and the Lindelöf Hypothesis
- 6. The approximate functional equation
- Appendices
- 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
- Bibliography
- Index

## Details

- SKU:
- 1913
- Subject:
- Mathematics
- Author:
- Patterson, S.J.
- Publisher:
- Cambridge University Press
- Publish Date:
- 1995 (First paperback edition)
- Format:
- Softcover
- Weight (pounds):
- 0.57
- Dimensions (W”xL”xH”):
- 5.95″x8.95″x0.4″
- ISBN-13:
- 9780521499057
- ISBN-10:
- 0521499054
- Grade Level:
- Graduate
- Series:
- Cambridge Studies in Advanced Mathematics

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