Andrii Bondarenko: Fourier interpolation from zeros of the Riemann zeta function

Abstract:

We will discuss a recent result that shows that any sufficiently nice even analytic function can be recovered from its values at the nontrivial zeros of \(\zeta(1/2+is)\) and the values of its Fourier transform at logarithms of integers. The talk is based on a joint workwith Danylo Radchenko and Kristian Seip.