Geodesic
Greatest prime divisors of polynomial values over function fields
Alexei Entin1
1 Raymond and Beverly Sackler School of Mathematical Sciences Tel Aviv University Tel Aviv 69978, Israel
Acta Arithmetica, Tome 165 (2014) no. 4, pp. 339-349 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/aa165-4-4
Keywords: function field fixed polynomial varying under certain restrictions lower bound degree greatest prime divisor terms height establishing strong result function field analogue classical problem number theory

Alexei Entin 1

1 Raymond and Beverly Sackler School of Mathematical Sciences Tel Aviv University Tel Aviv 69978, Israel 
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Alexei Entin. Greatest prime divisors of polynomial values
 over function fields. Acta Arithmetica, Tome 165 (2014) no. 4, pp. 339-349. doi: 10.4064/aa165-4-4

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