Spectral Theory of the Riemann Zeta-Function
$66.99 (C)
Part of Cambridge Tracts in Mathematics
- Author: Yoichi Motohashi, Nihon University, Tokyo
- Date Published: January 2008
- availability: Available
- format: Paperback
- isbn: 9780521058070
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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.
Read more- New view of zeta functions
- One of most important topics in number theory
- Contains the first elementary but unabridged treatment of this approach
Reviews & endorsements
Review of the hardback: '… gives an excellent presentation of the interplay between the Riemann zeta function and automorphic forms … nicely written and of great interest for any number theorists.' R. Tichy, International Mathematical News
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×Product details
- Date Published: January 2008
- format: Paperback
- isbn: 9780521058070
- length: 240 pages
- dimensions: 230 x 152 x 15 mm
- weight: 0.396kg
- availability: Available
Table of Contents
1. Non-Euclidean harmonics
2. Trace formulas
3. Automorphic L-functions
4. An explicit formula
5. Asymptotics
References
Index.
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