Let be a finite set. A function is said to beĀ *algebraicĀ *if it satisfies a polynomial equation for rational functions.

Does there exist a funcion such that is algebraic if and only and are rational?

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Month: August 2016

# Rationality testing and algebraic functions

# Rational thinking

Let be a finite set. A function is said to beĀ *algebraicĀ *if it satisfies a polynomial equation for rational functions.

Does there exist a funcion such that is algebraic if and only and are rational?

Does there exist a polynomial such that for any we have that if and only if ?