The largest prime factor of $X^3+2$

The largest prime factor of $X^3+2$ has been investigated by Hooley, who gave a conditional proof that it is infinitely often at least as large as $X^{1+\delta}$, with a certain positive constant $\delta$. It is trivial to obtain such a result with $\delta=0$. One may think of Hooley's result...

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Hlavní autor: Heath-Brown, D
Médium: Journal article
Vydáno: 2001