Introduction to the theory of the Riemann zeta-function
Patterson, S. J.
Introduction to the theory of the Riemann zeta-function - Cambridge: Cambridge University Press, 1988. - xiii, 156p. : ill. ; pb, 23 cm. - Cambridge studies in advanced mathematics ; 14 .
Includes bibliographical and indexes.
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.
9780521499057
Zeta-Function
Riemann Zeta-Function
Riemann-Hilbert problems
Calculus
Analytic number theory
Renormalization theory
515.56 / PAT
Introduction to the theory of the Riemann zeta-function - Cambridge: Cambridge University Press, 1988. - xiii, 156p. : ill. ; pb, 23 cm. - Cambridge studies in advanced mathematics ; 14 .
Includes bibliographical and indexes.
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.
9780521499057
Zeta-Function
Riemann Zeta-Function
Riemann-Hilbert problems
Calculus
Analytic number theory
Renormalization theory
515.56 / PAT
