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Non-vanishing of L-Functions and Applications
ISBN-13:
9783034802741
Veröffentl:
2012
Seiten:
196
Autor:
M. Ram Murty
Serie:
Modern Birkhäuser Classics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
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.
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