Cécile Dartyge: On the largest prime factor of quartic polynomial values: the cyclic and dihedral cases

19th January, 2023
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Let P(X) be a monic, quartic, irreducible polynomial of ℤ[X] with cyclic or dihedral Galois group. We prove that there exists cP >0, such that for a positive proportion of integers n, P(n) has a prime factor bigger than n1+cP.

This video is part of the Number Theory Web Seminar series.