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SUMMARY:Julia Brandes (Chalmers University of Technology\, Gothenburg\, Sw
 eeden)
DTSTART:20200710T110000Z
DTEND:20200710T120000Z
DTSTAMP:20260423T021347Z
UID:NTdL/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTdL/11/">Ap
 proximations to Weyl sums</a>\nby Julia Brandes (Chalmers University of Te
 chnology\, Gothenburg\, Sweeden) as part of Number theory during lockdown\
 n\n\nAbstract\nWe study two-dimensional Weyl sums involving a k-th power a
 nd a linear term. In particular\, we establish asymptotics for such sums i
 nvolving lower order main terms. This allows us to draw some surprising co
 nclusions regarding the size of such exponential sums on diagonal slices o
 f the unit torus. As an application\, we improve bounds for the fractal di
 mension of solutions to the Schrödinger and Airy equations. This is joint
  work with S. T. Parsell\, K. Poulias\, G. Shakan and R. C. Vaughan. Link 
 to the paper: https://arxiv.org/abs/2001.05629\n
LOCATION:https://researchseminars.org/talk/NTdL/11/
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