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Elementary Properties of the Zeta Function and L-series

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 110)

Abstract

We recall the formula for summation by parts. If {a n } and {b n } are sequences of complex numbers, and if we let
be the partial sums, then
We shall consider series
where {a n } is a sequence of complex numbers, and s is a complex variable. We write s = σ + it with σ, t real.

Keywords

Zeta Function Number Field Dirichlet Series Arithmetic Progression Class Field 
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

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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