ENGLISH

Spectral theory of the Riemann zeta-function

By Y Motohashi

Book information

Publisher
Cambridge University Press
Year
1997
ISBN
978-0-521-44520-7, 978-0-521-05807-0, 0521445205
Language
english
Format
DJVU
Filesize
1 MB (1206352 bytes)
Series
Cambridge tracts in mathematics, 127
Pages
ix, 228 p. ; 24 cm\238
Library
kolxo3
DPI
300
Time added
2014-11-04 21:00:00

Description

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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