Displaying similar documents to “On the common index divisors of a dihedral field of prime degree.”

Greatest prime divisors of polynomial values over function fields

Alexei Entin (2014)

Acta Arithmetica

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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.