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Period lattice
(
Λ
)
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Analysis
Complex analysis
Elliptic function
Created
2026-09-24
Updated
2026-10-06
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Two real-linearly independent
periods
ω
1
,
ω
2
generate the
period lattice
Λ
=
Z
ω
1
+
Z
ω
2
.
(1)
Table of contents
Fundamental parallelogram of a period lattice
Period lattice
Fundamental parallelogram of a period lattice
0
0
0
Period lattice
A
fundamental
parallelogram
for
Λ
=
Z
ω
1
+
Z
ω
2
is
a
translate of
{
s
ω
1
+
t
ω
2
:
0
≤
s
,
t
<
1
}
.
(1)
Its translates tile the
complex plane
.
Ancestors
(6)
Elliptic function
Complex analysis
Analysis
Area of mathematics
Mathematics
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