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The Theory of the Riemann Zeta-Function
Synopsis
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 the famous and still unsolved "Riemann hypothesis" at its heart. The second edition has been revised to include descriptions of work done in the last forty years and is
updated with many additional references; it will provide stimulating reading for postgraduates and workers in analytic number theory and classical analysis.
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What Reviewers Are Saying
Despite its age this is probably the most-cited book on the zeta function... The book is very comprehensive, and covers nearly anything anyone would want to know about the zeta function. * Allen Stenger, MAA Reviews *