§1. As Eisenstein shows, his method for constructing elliptic functions applies beautifully to the simpler case of the trigonometric functions. Moreover, this case provides, not merely an illuminating introduction to his theory, but also the simplest proofs for a series of results, originally discovered by Euler, which will have to be used later on.


Elliptic Function Trigonometric Function Sine Function Finite Order Double Pole 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • André Weil
    • 1
  1. 1.School of MathematicsThe Institute for Advanced StudyPrincetonUSA

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