DLMF
Index
Notations
Search
Help?
Citing
Customize
Annotate
UnAnnotate
About the Project
21
Multidimensional Theta Functions
Properties
21.4
Graphics
21.4
Graphics
21.5
Modular Transformations
Figure 21.4.2
(See
in context
.)
Figure 21.4.2:
ℜ
θ
^
(
x
+
i
y
,
0
|
𝛀
1
)
,
0
≤
x
≤
1
,
0
≤
y
≤
5
. (The imaginary part looks very similar.)
ⓘ
Annotations:
Symbols:
θ
^
(
𝐳
|
𝛀
)
: scaled Riemann theta function
,
i
: imaginary unit
,
ℜ
: real part
and
𝛀
: a Riemann matrix
Permalink:
http://dlmf.nist.gov/21.4.F2.viz
Viewpoint
Scale Figure
X
:
Y
:
Z
:
Cutting Control
x
y
z
clear
plane: