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Catalogue Information
Field name	Details
Dewey Class	512.7
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 : Springer Basel , 1997.
Physical Details	XI, 196 pages : 1 illus. : online resource.
Series	Modern Birkhäuser classics
ISBN	9783034802741
Summary Note	This book systematically develops some methods for proving the non-vanishing of certain L-functions at points in the critical strip. Researchers in number theory, graduate students who wish to enter into the area and non-specialists who wish to acquire an introduction to the subject will benefit by a study of this book. One of the most attractive features of the monograph is that it begins at a very basic level and quickly develops enough aspects of the theory to bring the reader to a point where the latest discoveries as are presented in the final chapters can be fully appreciated. --------- This book has been awarded the Ferran Sunyer I Balaguer 1996 prize (…)The deepest results are contained in Chapter 6 on quadratic twists of modular L-functions with connections to the Birch-Swinnerton-Dyer conjecture. (…) [It] is well-suited and stimulating for the graduate level because there is a wealth of recent results and open problems, and also a number of exercices and references after each chapter. (Zentralblatt MATH) Each chapter is accompanied by exercices, and there is a fair amount of introductory material, general discussion and recommended reading. (…) it will be a useful addition to the library of any serious worker in this area. (Mathematical Reviews) (…) well written monograph, intended not only for researchers and graduate students specializing in number theory, but also for non-specialists desiring to acquire an introduction to this difficult but very attractive and beautiful domain of investigation. (Mathematica).:
Contents note	1 The Prime Number Theorem and Generalizations -- 2 Artin L-Functions -- 3 Equidistribution and L-Functions -- 4 Modular Forms and Dirichlet Series -- 5 Dirichlet L-Functions -- 6 Non-Vanishing of Quadratic Twists of Modular L-Functions -- 7 Selberg’s Conjectures -- 8 Suggestions for Further Reading.
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/10.1007/978-3-0348-0274-1
Links to Related Works	Subject References: Algebraic Geometry . Mathematics . Number Theory . Authors: author . Murty, Maruti Ram . Murty, V. Kumar . Corporate Authors: SpringerLink (Online service) . Series: Modern Birkhäuser classics . Classification: 512.7 .

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Non-vanishing of L-Functions and Applications

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