3 papers
math.CA2024
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…
math.NT2024
Zeros of -Functions in Low-Lying Intervals and de Branges spaces
Antonio Pedro Ramos
We consider a variant of a problem first introduced by Hughes and Rudnick (2003) and generalized by Bernard (2015) concerning conditional bounds for small first zeros in a family o…
math.NT2023
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…