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Digital Library of Mathematical Functions ID
23.15.E7
J
(
τ
)
=
(
θ
2
8
(
0
,
q
)
+
θ
3
8
(
0
,
q
)
+
θ
4
8
(
0
,
q
)
)
3
54
(
θ
1
′
(
0
,
q
)
)
8
,
Kleins-invariant-modular-J
𝜏
superscript
Jacobi-theta
2
8
0
𝑞
Jacobi-theta
3
8
0
𝑞
Jacobi-theta
4
8
0
𝑞
3
54
superscript
diffop
Jacobi-theta
1
1
0
𝑞
8
{\displaystyle{\displaystyle J\left(\tau\right)=\frac{\left({\theta_{2}^{8}}% \left(0,q\right)+{\theta_{3}^{8}}\left(0,q\right)+{\theta_{4}^{8}}\left(0,q% \right)\right)^{3}}{54\left(\theta_{1}'\left(0,q\right)\right)^{8}},}}
Constraint(s)
Symbols List
θ
j
(
z
,
q
)
Jacobi-theta
𝑗
𝑧
𝑞
{\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}
:
q
𝑞
{\displaystyle{\displaystyle q}}
: nome
τ
𝜏
{\displaystyle{\displaystyle\tau}}
: complex variable
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