Spectral Theory of the Riemann Zeta-Function
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Overview
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.
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Details
- ISBN-13: 9780521058070
- ISBN-10: 0521058074
- Publisher: Cambridge University Press
- Publish Date: January 2008
- Dimensions: 9 x 6 x 0.55 inches
- Shipping Weight: 0.79 pounds
- Page Count: 240
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