Zero-Free Regions for L(s, χ)

  • Harold Davenport
Part of the Graduate Texts in Mathematics book series (GTM, volume 74)


There is no difficulty in extending the results of the preceding section to the zeros of L(s, χ) when χ is a fixed character. But this is of limited value ; for many purposes it is important to allow q to vary and to have estimates that are explicit in respect of q. This raises some difficult problems, and the results so far known are better for complex characters than for real characters.


Complex Character Real Zero Primitive Character Prime Number Theorem Positive Absolute Constant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Ann Davenport 1980

Authors and Affiliations

  • Harold Davenport
    • 1
  1. 1.Cambridge UniversityCambridgeEngland

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