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Non-vanishing of L-functions and applications /

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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...

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Bibliographic Details
Main Author: Murty, Maruti Ram
Corporate Author: SpringerLink (Online service)
Other Authors: Murty, Vijaya Kumar, 1956-
Format: eBook
Language:English
Published: Basel ; New York : Birkhäuser/Springer Basel, [2011]
Series:Modern Birkhäuser classics.
Subjects:
L-functions.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • The prime number theorem and generalizations
  • Artin L-functions
  • Equidistribution and L-functions
  • Modular forms and Dirichlet series
  • Dirichlet L-functions
  • Non-vanishing of quadratic twists of modular L-functions
  • Selberg's conjectures
  • Suggestions for further reading.