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How to recover anL-series from its values at almost all positive integers. Some remarks on a formula of Ramanujan

  • Christopher Deninger
Article

Abstract

We define a class of analytic functions which can be obtained from their values at almost all positive integers by a canonical interpolation procedure. All the usualL-functions belong to this class which is interesting in view of the extensive investigations of special values of motivicL-series. A number of classical contour integral formulas appear as particular cases of the interpolation scheme. The paper is based on a formula of Ramanujan and results of Hardy. An approach to the problem via distributions is also presented.

Keywords

Interpolation formulas analytic functions contour integrals special values L-functions 

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References

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Copyright information

© Indian Academy of Sciences 2000

Authors and Affiliations

  • Christopher Deninger
    • 1
  1. 1.WWUMathematisches InstitutMunsterGermany

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