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Formal derivative in positive characteristic
(
f
′
(
T
)
)
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Algebra
Galois theory
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Words: 53
Articles: 1
The formal derivative of
f
(
T
)
=
∑
i
a
i
T
i
is
f
′
(
T
)
=
∑
i
i
a
i
T
i
−
1
. In characteristic
p
, the coefficient
i
vanishes exactly when
p
divides
i
.
Table of contents
53
1
Polynomial with zero formal derivative in characteristic p
Formal derivative in positive characteristic
29
Ancestors
(5)
Galois theory
Algebra
Area of mathematics
Mathematics
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Solution
Solution
Separable polynomial