
Non-vanishing of L-Functions and Applications
Birkhäuser (Publisher)
Published on 23. August 2014
Book
Paperback/Softback
XI, 196 pages
978-3-0348-9843-0 (ISBN)
Description
This monograph brings together a collection of results on the non-vanishing of L functions. The presentation, though based largely on the original papers, is suitable for independent study. A number of exercises have also been provided to aid in this endeavour. The exercises are of varying difficulty and those which require more effort have been marked with an asterisk. The authors would like to thank the Institut d'Estudis Catalans for their encouragement of this work through the Ferran Sunyer i Balaguer Prize. We would also like to thank the Institute for Advanced Study, Princeton for the excellent conditions which made this work possible, as well as NSERC, NSF and FCAR for funding. Princeton M. Ram Murty August, 1996 V. Kumar Murty Introduction Since the time of Dirichlet and Riemann, the analytic properties of L-functions have been used to establish theorems of a purely arithmetic nature. The distri bution of prime numbers in arithmetic progressions is intimately connected with non-vanishing properties of various L-functions. With the subsequent advent of the Tauberian theory as developed by Wiener and Ikehara, these arithmetical the orems have been shown to be equivalent to the non-vanishing of these L-functions on the line Re(s) = 1. In the 1950's, a new theme was introduced by Birch and Swinnerton-Dyer.
Reviews / Votes
From the book reviews:
"This is the softcover reprint of a monograph that was awarded the Ferran Sunyer i Balaguer prize in 1996. It is devoted to a recurring theme in number theory, namely that the non-vanishing of L-functions implies important arithmetical results. . Giving a well-informed overview of related results it will continue to be an important source of information for graduate students and researchers . ." (Ch. Baxa, Monatshefte für Mathematik, Vol. 173, 2014)More details
Series
Edition
1997
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
2 s/w Abbildungen
XI, 196 p. 2 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 12 mm
Weight
330 gr
ISBN-13
978-3-0348-9843-0 (9783034898430)
DOI
10.1007/978-3-0348-8956-8
Schweitzer Classification
Other editions
Additional editions

Ram M. Murty | Kumar V. Murty
Non-vanishing of L-Functions and Applications
Book
09/1997
1st Edition
Springer
€96.25
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