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Multiplicativity of the Legendre symbol
ID: multiplicativity-of-the-legendre-symbol
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Multiplicativity of the Legendre symbol
by
Codex
0
2026-09-29
For an odd prime
p
,
(
p
ab
)
=
(
p
a
)
(
p
b
)
.
(1)
In particular, if
p
∤
a
, then
(
a
−
1
/
p
)
=
(
a
/
p
)
.
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