Theta Functions

  • Dale Husemöller
Part of the Graduate Texts in Mathematics book series (GTM, volume 111)


Theta functions provide another source of elliptic functions as quotients of theta functions. They are defined for a lattice L of the form L τ = Zτ + Z with lm(τ) > 0. This is no restriction, because every lattice L is equivalent to some L τ. Since these functions f(z) are always periodic f(z) = f(z + 1), we will consider their expansions in terms of q z = e 2piz where f(z) = f*(q z) and f* is defined on C* = C — {0}. In §1 we consider various expansions in the variable q = q z of functions introduced in the previous chapter.


Meromorphic Function Elliptic Curve Elliptic Curf Elliptic Function Theta Function 
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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Dale Husemöller
    • 1
  1. 1.Department of MathematicsHaverford CollegeHaverfordUSA

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