Articles liés à An Introduction to the Theory of the Riemann Zeta-Function

An Introduction to the Theory of the Riemann Zeta-Function - Couverture souple

Livre 11 sur 151: Cambridge Studies in Advanced Mathematics

Patterson, S. J.

 
9780521499057: An Introduction to the Theory of the Riemann Zeta-Function
Couverture souple
ISBN 10 : 0521499054 ISBN 13 : 9780521499057
Editeur : Cambridge University Press, 1995

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.

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Présentation de l'éditeur

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.

Revue de presse

'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

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Éditeur
Cambridge University Press
Date d'édition
1995
Langue
anglais
ISBN 10 
0521499054
ISBN 13 
9780521499057
Reliure
Broché
Nombre de pages
176
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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