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math.NT2022
On the largest prime factor of quartic polynomial values: the cyclic and dihedral cases
Cécile Dartyge, James Maynard
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…
math.NT2022
Half-isolated zeros and zero-density estimates
James Maynard, Kyle Pratt
We introduce a new method to detect the zeros of the Riemann zeta function which is sensitive to the vertical distribution of the zeros. This allows us to prove there are few `half…