If I have a polynom $P(x)$, which zeros have the absolute value $q^{-(\frac{n-1}{2})}$. Why is this an accord to the Riemann hypothesis?

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You can read the question above. So I'm really " new in terms of Riemann hypothesis". I have read about the hypothesis in wikipedia. So I know the statement of the Hypothesis : The Riemann Zeta Function has its zeros only at the negative even integers and complex numbers with real part $\frac{1}{2}$. but I dont understand why the statement in the title is an accord for this hypothesis? $q$ is the number of elements in $F$, a finite field.

Thank you for explanation.