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The Functions ζ(s) and L(s, χ)

  • Tom M. Apostol
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

This chapter develops further properties of the Riemann zeta function ζ(s) and the Dirichlet L-functions L(s, χ) defined for σ > 1 by the series
$$\zeta (s) = \sum\limits_{n = 1}^\infty {\frac{1}{{{n^s}}}}$$
and
$$L(s,\chi ) = \sum\limits_{n = 1}^\infty {\frac{{\chi (n)}}{{{n^s}}}}$$
.

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Copyright information

© Springer Science+Business Media New York 1976

Authors and Affiliations

  • Tom M. Apostol
    • 1
  1. 1.Department of MathematicsCalifornia Institute of TechnologyPasadenaUSA

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