Spectral Theory of the Riemann Zeta-Function (Paperback) (ISBN-13: 9780521058070)

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.

Author: Yoichi Motohashi
ISBN-10: 0521058074
ISBN-13: 9780521058070
Publisher: Cambridge University Press
Language: English
Published: 01/28/2008
Pages: 240
Format: Paperback
Weight: 0.79lbs
Size: 9.00h x 6.00w x 0.55d