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Statements
ΞΆ
β‘
(
z
|
π
1
)
-
ΞΆ
β‘
(
z
+
2
β’
K
β‘
|
π
1
)
+
ΞΆ
β‘
(
2
β’
K
β‘
|
π
1
)
=
ns
β‘
(
z
,
k
)
,
Weierstrass-zeta-on-lattice
π§
subscript
π
1
Weierstrass-zeta-on-lattice
π§
2
complete-elliptic-integral-first-kind-K
π
subscript
π
1
Weierstrass-zeta-on-lattice
2
complete-elliptic-integral-first-kind-K
π
subscript
π
1
Jacobi-elliptic-ns
π§
π
{\displaystyle{\displaystyle\zeta\left(z|\mathbb{L}_{\mspace{1.0mu }1}\right)-%
\zeta\left(z+2K|\mathbb{L}_{\mspace{1.0mu }1}\right)+\zeta\left(2K|\mathbb{L}_%
{\mspace{1.0mu }1}\right)=\operatorname{ns}\left(z,k\right),}}
ns
β‘
(
z
,
k
)
Jacobi-elliptic-ns
π§
π
{\displaystyle{\displaystyle\operatorname{ns}\left(\NVar{z},\NVar{k}\right)}}
ΞΆ
β‘
(
z
)
Weierstrass-zeta-on-lattice
π§
π
{\displaystyle{\displaystyle\zeta\left(\NVar{z}\right)}}
K
β‘
(
k
)
complete-elliptic-integral-first-kind-K
π
{\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
π
π
{\displaystyle{\displaystyle\mathbb{L}}}
z
π§
{\displaystyle{\displaystyle z}}
k
π
{\displaystyle{\displaystyle k}}
Identifiers
