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Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Non-vanishing of L-Functions and Applications ([EBook]) / by M. Ram Murty, V. Kumar Murty.
Author	Murty, Maruti Ram
Added Personal Name	Murty, V. Kumar
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 1997.
Physical Details	XI, 196 pages : 2 illus. : online resource.
Series	Progress in mathematics 0743-1643 ; ; 157
ISBN	9783034889568
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-8956-8
Links to Related Works	Subject References: Algebraic Geometry . L-functions . Number Theory . Authors: author . Murty, Maruti Ram . Murty, V. Kumar . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 516.35 .

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Non-vanishing of L-Functions and Applications

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