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21
Multidimensional Theta Functions
Properties
21.4
Graphics
21.4
Graphics
21.5
Modular Transformations
Figure 21.4.4
(See
in context
.)
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Figure 21.4.4:
A real-valued scaled Riemann theta function:
θ
^
(
i
x
,
i
y
|
𝛀
1
)
,
0
≤
x
≤
4
,
0
≤
y
≤
4
. In this case, the quasi-periods are commensurable, resulting in a doubly-periodic configuration.
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ⓘ
Annotations:
Symbols:
θ
^
(
𝐳
|
𝛀
)
: scaled Riemann theta function
,
i
: imaginary unit
and
𝛀
: a Riemann matrix
Permalink:
http://dlmf.nist.gov/21.4.F4.mag
Encodings:
Magnified png
,
Vizualization
,
pdf
See also:
Annotations for
§21.4
and
Ch.21
