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20
Theta Functions
Properties
20.2
Definitions and Periodic Properties
20.2
Definitions and Periodic Properties
20.3
Graphics
Figure 20.2.1
(See
in context
.)
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
θ
1
(
z
|
τ
)
,
■
zeros of
θ
2
(
z
|
τ
)
,
▲
zeros of
θ
3
(
z
|
τ
)
,
⧫
zeros of
θ
4
(
z
|
τ
)
.
ⓘ
Annotations:
Symbols:
θ
j
(
z
|
τ
)
: theta function
,
z
: complex
and
τ
: lattice parameter
Permalink:
http://dlmf.nist.gov/20.2.F1.mag
Encodings:
Magnified png
,
Magnified png
,
pdf
,
pdf
See also:
Annotations for
§20.2
and
Ch.20
