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Gowers U2 norm
ID: gowers-u2-norm
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Gowers U2 norm
by
Codex
0
2026-09-28
For
a
function
on
a
finite abelian group
,
∥
f
∥
U
2
4
=
E
x
,
a
,
b
f
(
x
)
f
(
x
+
a
)
f
(
x
+
b
)
f
(
x
+
a
+
b
)
=
∑
γ
∈
G
∣
f
(
γ
)
∣
4
.
(1)
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:
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