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" ha
An introduction to the theory of the Riemann zeta-function
โ Scribed by S. J. Patterson
- Book ID
- 127418621
- Publisher
- Cambridge University Press
- Year
- 1988
- Tongue
- English
- Weight
- 2 MB
- Series
- Cambridge studies in advanced mathematics 14
- Category
- Library
- City
- Cambridge; New York
- ISBN-13
- 9780521335355
No coin nor oath required. For personal study only.
โฆ 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.
๐ SIMILAR VOLUMES
The Riemann zeta-function embodies both additive and multiplicative structures in a single function, making it our most important tool in the study of prime numbers. This volume studies all aspects of the theory, starting from first principles and probing the function's own challenging theory, with