Greatest prime divisors of polynomial values over function fields

• Autorzy: Alexei Entin
• Języki publikacji: EN

Abstrakty

EN

For a function field K and fixed polynomial F ∈ K[x] and varying f ∈ 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.

Kategorie tematyczne

• 11R58: Arithmetic theory of algebraic function fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 165
• Numer: 4
• Strony: 339-349

Daty

wydano

2014

Twórcy

autor

Alexei Entin

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

Identyfikatory

DOI

10.4064/aa165-4-4