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Math Help - Specifying functions by polinomials

  1. #1
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    Specifying functions by polinomials

    Let's prove that if, F is a finite field, then every F--> F function can be defined by polynomial.

    Any help would be appreciated.
    Thank you!
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  2. #2
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    Quote Originally Posted by doug View Post
    Let's prove that if, F is a finite field, then every F--> F function can be defined by polynomial.

    Any help would be appreciated.
    Thank you!

    Any such function has a finite set as image, and then we can interpolate (Lagrange and stuff) this values to obtain a pol.

    Tonio
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