43 citations · 283 across the 27 of their papers we have counts for
27 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 cha…
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…
On Littlewood's estimate for the modulus of the zeta function on the critical line
Emanuel Carneiro, Micah B. Milinovich
Inspired by a result of Soundararajan, assuming the Riemann hypothesis (RH), we prove a new inequality for the logarithm of the modulus of the Riemann zeta-function on the critical…
Fourier optimization and Montgomery's pair correlation conjecture
Emanuel Carneiro, Micah B. Milinovich, Antonio Pedro Ramos
Assuming the Riemann hypothesis, we improve the current upper and lower bounds for the average value of Montgomery's function over long intervals by means of a Fourier op…