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Greatest prime divisors of polynomial values over function fields

Volume 165 / 2014

Alexei Entin Acta Arithmetica 165 (2014), 339-349 MSC: Primary 11R58. DOI: 10.4064/aa165-4-4


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.


  • Alexei EntinRaymond and Beverly Sackler School of Mathematical Sciences
    Tel Aviv University
    Tel Aviv 69978, Israel

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