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Topic: can someone point me to the proof that
Replies: 9   Last Post: Jul 24, 2013 10:39 AM

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Bart Goddard

Posts: 1,502
Registered: 12/6/04
Re: can someone point me to the proof that
Posted: Jul 21, 2013 5:43 PM
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lax.clarke@gmail.com wrote in news:f6288bc3-b3b4-45bb-9425-2a70f2cea066
@googlegroups.com:

> no two polynomials are the same function over finite fields

I think you mean _infinite_ fields. In which case you can
use functional methods. If the two polynomials give the
same function, then plug 0 in for X to see that their constant
terms are the same. Then take (formal) derivatives and plug
in 0 again to see that the first-order coefficients are the
same, etc.

B.



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