4 papers
Simultaneous non-vanishing of Dirichlet --functions, II: Weighted central limit theorem
Hung M. Bui, Alexandra Florea, Micah B. Milinovich
Under the Generalized Riemann Hypothesis, we prove a weighted central limit theorem for the joint distribution of four Dirichlet --functions at the central point, twisted by the…
One-level densities of large even and odd orthogonal families of automorphic L-functions
Vorrapan Chandee, Xiannan Li, Micah B. Milinovich
We prove one-level density results for L-functions attached to primitive forms of level q, averaged over square-free q, conditional on the Generalized Riemann Hypothesis (GRH). We…
Simultaneous non-vanishing of Dirichlet L-functions
Hung M. Bui, Alexandra Florea, Micah B. Milinovich
In this paper, we prove the simultaneous non-vanishing of four Dirichlet -functions at any point on the critical line. More precisely, let be even Dirichlet c…
Fourier optimization, the least quadratic non-residue, and the least prime in an arithmetic progression
Emanuel Carneiro, Micah B. Milinovich, Emily Quesada-Herrera +1
By means of a Fourier optimization framework, we improve the current asymptotic bounds under GRH for two classical problems in number theory: the problem of estimating the least qu…