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Analytic Preliminaries

  • Peter Borwein
  • Stephen Choi
  • Brendan Rooney
  • Andrea Weirathmueller
Part of the CMS Books in Mathematics book series (CMSBM)

Abstract

In this chapter we develop some of the more important, and beautiful, results in the classical theory of the zeta function. The material is mathematically sophisticated; however, our presentation should be accessible to the reader with a first course in complex analysis. At the very least, the results should be meaningful even if the details are elusive.

Keywords

Analytic Continuation Zeta Function Dirichlet Series Critical Line Riemann Zeta Function 
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, LLC 2008

Authors and Affiliations

  • Peter Borwein
    • 1
  • Stephen Choi
    • 1
  • Brendan Rooney
    • 2
  • Andrea Weirathmueller
    • 3
  1. 1.Department of Mathematics & StatisticsSimon Fraser UniversityBurnabyCanada
  2. 2.Simon Fraser UniversityBurnabyCanada
  3. 3.University of Western OntarioFrederictonCanada

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