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arXiv · 1307.0766

Greatest Prime Divisors of Polynomial Values over Function Fields

Alexei Entin
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Abstract

For a function field $K$ and fixed polynomial $F\in K[x]$ and varying $f\in F$ (under certain restrictions) we give a lower bound for the degree of the greatest prime divisor of $F(f)$ in terms of the height of $f$, establishing a strong result for the function field analogue of a classical problem in number theory.

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Alexei Entin. 2013-08-14. Greatest Prime Divisors of Polynomial Values over Function Fields. https://arxiv.org/abs/1307.0766

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