An Introduction to the Theory of the Riemann Zeta-Function (Cambridge Studies in Advanced Mathematics, Series Number 14) - Softcover

Patterson, S. J.

Softcover

ISBN 10: 0521499054 ISBN 13: 9780521499057

Publisher: Cambridge University Press, 1995

Synopsis

This is a modern introduction to the analytic techniques used in the investigation of 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 emphasized central ideas of broad application, avoiding technical results and the customary function-theoretic approach.

About this title

Book Description

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.

Review

'This is a clear and concise introduction to the zeta function that concentrates on the function-theoretical aspects rather than number theory ... The exercises are especially good, numerous and challenging. They extend the results of the text, or ask you to prove analogous results. Very Good Feature: Seven appendices that give most of the function-theoretical background you need to know to read this book. The Fourier Theory appendix is a gem: everything you need to know about the subject, including proofs, in 11 pages!' Allen Stenger, Mathematical Association of America Reviews

Edition details

• Publisher: Cambridge University Press
• Publication date: 1995
• Language: English
• ISBN 10: 0521499054
• ISBN 13: 9780521499057
• Binding: Paperback
• Number of pages: 176