On the largest prime factor of quartic polynomial values: the cyclic and dihedral cases
Cécile Dartyge
Université de Lorraine, Vandœ uvre-lès-Nancy, FranceJames Maynard
University of Oxford, Oxford, UK

Abstract
Let be an irreducible, monic, quartic polynomial with cyclic or dihedral Galois group. We prove that there exists a constant such that for a positive proportion of integers , has a prime factor .
Cite this article
Cécile Dartyge, James Maynard, On the largest prime factor of quartic polynomial values: the cyclic and dihedral cases. J. Eur. Math. Soc. (2025), published online first
DOI 10.4171/JEMS/1586