5 papers
Sharp sign uncertainty for trigonometric polynomials
Tolibjon Ismoilov
We study sign uncertainty principles for trigonometric polynomials of prescribed degree with respect to a symmetric Borel measure on the unit circle …
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…
Maximizers of the Fourier extension inequality for cones in finite fields
Cristian González-Riquelme, Tolibjon Ismoilov
Sharp Fourier restriction theory and finite field extension theory have both been topics of interest in the last decades. Very recently, in \cite{GonzalezOliveira}, the research in…
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…
Sign uncertainty and de Branges spaces
Emanuel Carneiro, Tolibjon Ismoilov, Antonio Pedro Ramos
We investigate here the sign uncertainty phenomenon for bandlimited functions, with a competing condition given by integration with respect to a general measure. Our main result pr…