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Topic: n square free) ^ ( d I n and u = v (mod d) --> f(u) = f(v) (mod d) )
--> (f is a polynomial over Z_n)

Replies: 2   Last Post: Oct 16, 2009 3:37 PM

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gaya.patel@gmail.com

Posts: 160
Registered: 11/29/05
n square free) ^ ( d I n and u = v (mod d) --> f(u) = f(v) (mod d) )
--> (f is a polynomial over Z_n)

Posted: Oct 16, 2009 8:23 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

How can I show that for any squarefree n and function f from Z_n to
Z_n that has the propery that- whenever d I n and u = v (mod d) then f
(u) = f(v) (mod d) - must be a polynomial over Z_n ?



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