On the Nature of the “Explicit Formulas” in Analytic Number Theory — A Simple Example

  • Christopher Deninger
Part of the Developments in Mathematics book series (DEVM, volume 8)


We interpret the “explicit formulas” in the sense of analytic number theory for the zeta function of an elliptic curve over a finite field as a transversal index theorem on a 3-dimensional laminated space.


Explicit formula elliptic curve transversal index transversally elliptic operator foliation arithmetic topology 


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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • Christopher Deninger
    • 1
  1. 1.Mathematisches InstitutWWU MünsterMünsterGermany

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