Danylo Radchenko

ETH Zurich


Fourier interpolation from zeros of the Riemann zeta function


Heilbronn Number Theory Seminar


23rd September 2020, 4:00 pm – 5:00 pm
Zoom,


I will talk about 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 proof is based on an explicit interpolation formula, whose construction relies on a strengthening of Knopp's abundance principle for Dirichlet series with functional equations. The talk is based on a joint work with Andriy Bondarenko and Kristian Seip.






Comments are closed.
css.php