Geodesic
Greatest prime divisors of polynomial values over function fields
Alexei Entin1
1Raymond and Beverly Sackler School of Mathematical Sciences Tel Aviv University Tel Aviv 69978, Israel
Acta Arithmetica, Tome 165 (2014) no. 4, pp. 339-349

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

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 
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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