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SUMMARY:Danylo Radchenko (ETH Zurich)
DTSTART:20200923T150000Z
DTEND:20200923T160000Z
DTSTAMP:20260423T035927Z
UID:hnts/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/2/">Fou
 rier interpolation from zeros of the Riemann zeta function</a>\nby Danylo 
 Radchenko (ETH Zurich) as part of Heilbronn number theory seminar\n\n\nAbs
 tract\nI will talk about a recent result that shows that any sufficiently 
 nice even analytic function can be recovered from its values at the nontri
 vial zeros of $\\zeta(\\frac{1}{2}+is)$ and the values of its Fourier tran
 sform at logarithms of integers. The proof is based on an explicit interpo
 lation formula\, whose construction relies on a strengthening of Knopp's a
 bundance principle for Dirichlet series with functional equations. The tal
 k is based on a joint work with Andriy Bondarenko and Kristian Seip.\n
LOCATION:https://researchseminars.org/talk/hnts/2/
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