Lax
Posts:
54
Registered:
3/18/07


Re: can someone point me to the proof that
Posted:
Jul 21, 2013 5:49 PM


On Sunday, July 21, 2013 5:43:22 PM UTC4, Bart Goddard wrote: > lax.clarke@gmail.com wrote in news:f6288bc3b3b445bb94252a70f2cea066 > > @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 firstorder coefficients are the > > same, etc. > > > > B.
Yes I meant infinite :)
What's funny is I did that proof above for F= reals or complex field, but then realized it was impossible for rationals.
I'll look up formal derivative :)

