An Introduction to the Theory of the Riemann Zeta-Function. Cambridge Studies in Advanced Mathematics 14

Patterson, S. J.

ISBN 10: 0521335353 / ISBN 13: 9780521335355

Published by Cambridge University Press, 1988

About this Item

xiii, 156 pp., hardcover, previous owner's name to the front free endpaper, else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

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Bibliographic Details

• Title: An Introduction to the Theory of the Riemann Zeta-Function. Cambridge Studies in Advanced Mathematics 14
• Publisher: Cambridge University Press
• Publication Date: 1988
• Language: English
• ISBN 10: 0521335353
• ISBN 13: 9780521335355
• Binding: Hardcover
• Condition: Very Good

About this title

Synopsis

This is a modern introduction to the analytic techniques used in the investigation of zeta functions, through the example of the Riemann 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 emphasised central ideas of broad application, 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, designed to encourage active learning.

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