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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Special Functions
>
Elliptic Functions
>
Built-in
Mathematica
Symbol
EllipticTheta
See Also »
|
Elliptic Functions
Special Functions
New in 6.0: Mathematical Functions
More About »
SiegelTheta
SiegelTheta
[
,
s
]
gives the Siegel theta function
with Riemann modular matrix
and vector
s
.
SiegelTheta
[{
1
,
2
},
,
s
]
gives the Siegel theta function
with characteristics
and
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
The matrix
must be symmetric, with positive definite imaginary part.
If
is a
p
×
p
matrix, the vectors
s
and
v
or
i
must have length
p
.
, where
n
ranges over all possible vectors in the
p
-dimensional integer lattice.
, where
n
ranges over all possible vectors in the
p
-dimensional integer lattice.
SiegelTheta
can be evaluated to arbitrary numerical precision.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(4)
Generalizations & Extensions
(2)
Applications
(2)
Properties & Relations
(2)
Possible Issues
(2)
Neat Examples
(1)
SEE ALSO
EllipticTheta
MORE ABOUT
Elliptic Functions
Special Functions
New in 6.0: Mathematical Functions
New in 6