Fourier interpolation from zeros of the Riemann zeta function (Online Number Theory Lunch Seminar/Heilbronn Number Theory Seminar)
Posted in
Speaker:
Danylo Radchenko
Zugehörigkeit:
ETH Zürich
Datum:
Mit, 23/09/2020 - 17:00 - 18:00
Parent event:
Number theory lunch seminar 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.
Zoom meeting: ID: 943 3217 1339
For password please ask Pieter Moree (moree@mpim-...)
© MPI f. Mathematik, Bonn | Impressum & Datenschutz |