5 papers
Convex order, log-convexity and moments of averages of random variables
Felipe Gonçalves, José Madrid, Antonio Pedro Ramos
We establish a convex order comparison for products of averages of exchangeable nonnegative random variables. As a consequence, we solve a conjecture of Lamkin and Tkocz (2022) on…
Sharp embeddings between weighted Paley-Wiener spaces
Emanuel Carneiro, Cristian González-Riquelme, Lucas Oliveira +4
In this paper we address the problem of estimating the operator norm of the embeddings between multidimensional weighted Paley-Wiener spaces. These can be equivalently thought as F…
Littlewood's estimates for -functions in the hyperelliptic ensemble
Emanuel Carneiro, Pranendu Darbar, Mithun Kumar Das +2
We investigate the analogues of certain classical estimates of Littlewood for the Riemann zeta-function in the context of quadratic Dirichlet -functions over function fields. In…
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…
Fourier optimization and pair correlation problems
Mithun Kumar Das, Tolibjon Ismoilov, Antonio Pedro Ramos
We introduce a generic framework to provide bounds related to the pair correlation of sequences belonging to a wide class. We consider analogues of Montgomery's form factor for zer…