Fourier interpolation from zeros of the Riemann zeta function

Abstract: 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 $\zeta(\frac{1}{2}+is)$ 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.

number theory

Audience: researchers in the topic

( video )

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Heilbronn number theory seminar

Series comments: This is part of the University of Bristol's Heilbronn number theory seminar. If you wish to attend the talk (and are not a Bristolian), please register using this form or email us at bristolhnts@gmail.com with your name and affiliation (if any).

We will email out the link to all registered participants the day before.

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