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  • is the angle value.


  • This function shows the Base theta value.
  • The basic theta function is defined to be the function Failed to parse (syntax error): {\displaystyle \theta : \mathbb{C} → \mathbb{C}} given by
  • The function depends on τ .
  • So for each τ ∈ C with Im τ > 0 we get a (not necessarily different) basic theta function.
  • Hence there is a whole family of basic theta functions {θ(τ )}τ∈C,Im τ>0.
  • But here we assume τ to be fixed, so we have only one basic theta function.
  • The basic theta function is quasi-periodic.
  • Base Theta is locally uniformly unordered convergent also basic theta function is an entire function.