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Spectral Theory of the Riemann Zeta-Function

Spectral Theory of the Riemann Zeta-Function

Hardcover

Series: Cambridge Tracts in Mathematics, Book 127

AlgebraGeneral Mathematics

ISBN10: 0521445205
ISBN13: 9780521445207
Publisher: Cambridge University Press
Published: Sep 11 1997
Pages: 240
Weight: 1.15
Height: 0.69 Width: 6.00 Depth: 9.00
Language: English
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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Motohashi, Y.

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General Mathematics