Prove: Let be odd prime. Prove that Aor all i with 1 LikP-2), you have an +... + working so far: Since P isa prime we Know the list 4,2,., P-I (not in that order howeres). x',x²,..x modulo p gives can rewrite 1't 2t. +(P-) x'+ x So, we +… + メ *... as Now , analy ze 1study each term by Finding its order then rewrite x'+ x in a Simpler ト… + メ way: After, a formula to compute the seem of powers. । ५১२
Prove: Let be odd prime. Prove that Aor all i with 1 LikP-2), you have an +... + working so far: Since P isa prime we Know the list 4,2,., P-I (not in that order howeres). x',x²,..x modulo p gives can rewrite 1't 2t. +(P-) x'+ x So, we +… + メ *... as Now , analy ze 1study each term by Finding its order then rewrite x'+ x in a Simpler ト… + メ way: After, a formula to compute the seem of powers. । ५১२
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve this using the work I've done so far
Transcribed Image Text:Prove: Let p be an odd prime. Prove that for all i with 1Likp-z),
+... + 8-
),you have
working so far:
Since p is aprime we know the list
4,2,., p-l (Rot in that order however).
xンメ
modulo p gives
So, we
can rewrite 1'+
+(P-1
+… + メ
メ
as
Now, analyze x . +
in a Simpler
Istudy each term by Finding its order then rewrite x't
2:
ト… + メ
way:
After
a Formula to compute the suem
of
powers.
use
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