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.
1100939451
Spectral Theory of the Riemann Zeta-Function
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.
71.0
In Stock
5
1
Spectral Theory of the Riemann Zeta-Function
240
Spectral Theory of the Riemann Zeta-Function
240Paperback(New Edition)
$71.00
71.0
In Stock
Product Details
| ISBN-13: | 9780521058070 |
|---|---|
| Publisher: | Cambridge University Press |
| Publication date: | 01/28/2008 |
| Series: | Cambridge Tracts in Mathematics , #127 |
| Edition description: | New Edition |
| Pages: | 240 |
| Product dimensions: | 5.98(w) x 9.06(h) x 0.59(d) |
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