Spectral Theory of the Riemann Zeta-Function (Cambridge Tracts in Mathematics, Series Number 127) - Hardcover

Motohashi, Yoichi

Hardcover

ISBN 10: 0521445205 ISBN 13: 9780521445207

Publisher: Cambridge University Press, 1997

Synopsis

This ground-breaking work combines the classic (the zeta-function) with the modern (the spectral theory) to create a comprehensive but elementary treatment of spectral resolution. The story starts with a basic but unabridged treatment of the spectral resolution of the non-Euclidean Laplacian and the trace formulas. The author achieves this by the use of standard tools from analysis rather than any heavy machinery, forging a substantial aid for beginners in spectral theory. These ideas are then utilized to unveil a new image of the zeta-function, revealing it as the main gem of a necklace composed of all automorphic L-functions. In this book readers will find a detailed account of one of the most fascinating stories in the recent development of number theory. Mathematics specialists and researchers will find this a fascinating work.

About this title

Book Description

In this book Professor Motohashi shows that function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the zeta function itself. It will be fascinating reading for all mathematicians working in analytic number theory or the theory of automorphic forms.

About the Author

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Edition details

• Publisher: Cambridge University Press
• Publication date: 1997
• Language: English
• ISBN 10: 0521445205
• ISBN 13: 9780521445207
• Binding: Hardcover
• Edition number: 1
• Number of pages: 240