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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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Polynomials which always assume perfect power values

Here is a more elementary argument than that of nfcd23. It only assumes that $f(n)$ is a $k$th power for some $k$ depending on $n$, which need not be assumed to divide $d$. Over $\mathbf{C}$, write $ …
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