Re: Congruence question.
- From: Bill Dubuque <wgd@xxxxxxxxxxxxxxxxxxxx>
- Date: 12 Jun 2008 18:51:52 -0400
Saysero <saysero@xxxxxxxxx> writes:
n n
Prove that for any prime p, if a^p - b^p is divisible by p
then a^p - b^p is also divisible by p^2.
x - y n-1 n
HINT In any ring ------- = n x = D (x ) if x = y
x - y
See also my prior posts [1] on the algebraic derivative for polynomials
--Bill Dubuque
[1] http://google.com/groups?selm=y8z64ry3745.fsf%40nestle.csail.mit.edu
http://google.com/groups?selm=y8zr6b6fd92.fsf%40nestle.csail.mit.edu
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