The Theory of the Riemann Zeta-Function (Oxford Science Publications) - Softcover

Titchmarsh, E. C.

Softcover

ISBN 10: 0198533691 ISBN 13: 9780198533696

Publisher: Oxford University Press, 1987

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.

About this title

About the Author:

The late E. C. Titchmarsh was at University of Oxford. D. R. Heath-Brown is at Magdelen College, Oxford.

Review:

"The first edition of this classical treatise appeared in 1951 . . . Besides writing the updating and elucidating notes, covering all in all over 50 pages, the editor also has compiled a list of some 120 additional references to the more recent literature on the zeta-function. Thanks to the ample new material, this new edition makes very interesting reading, even for those who are familiar with the original." --Mathematical Reviews

"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." -- MAA Reviews

"A reprinting of this classic treatise with corrections and extensive end-of-chapter notes by D.R. Heath-Brown." --The American Mathematical Monthly

About this edition

• Publisher: Oxford University Press
• Publication date: 1987
• ISBN 10: 0198533691
• ISBN 13: 9780198533696
• Binding: Paperback
• Edition number: 2
• Number of pages: 422
• Editor: Heath-Brown D. R.