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DLMF: Figure 20.2.1 ‣ §20.2 Definitions and Periodic Properties ‣ Properties ‣ Chapter 20 Theta Functions
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20 Theta FunctionsProperties20.2 Definitions and Periodic Properties
Figure 20.2.1 (See in context.)
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Figure 20.2.1: z-plane. Fundamental parallelogram. Left-hand diagram is the rectangular case (τ purely imaginary); right-hand diagram is the general case. ∙ zeros of θ1⁡(z|τ), ■ zeros of θ2⁡(z|τ), ▲ zeros of θ3⁡(z|τ), ◆ zeros of θ4⁡(z|τ).
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Annotations:
Symbols:
θj⁡(z|τ): theta function, z: complex and τ: lattice parameter
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Annotations for §20.2 and Ch.20
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