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SUMMARY:Ognian Trifonov (University of South Carolina)
DTSTART:20220527T183000Z
DTEND:20220527T185500Z
DTSTAMP:20260423T011437Z
UID:CANT2022/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2022/53/
 ">Lattice points close to ovals\, arcs\, and helixes</a>\nby Ognian Trifon
 ov (University of South Carolina) as part of Combinatorial and additive nu
 mber theory (CANT 2022)\n\n\nAbstract\nIn 1972 Schinzel showed that the la
 rgest distance between three lattice points on a circle of radius $R$ \nis
  at least $\\sqrt[3]{2} R^{1/3}$. We generalize Schinzel's result to ovals
  and arcs with bounded curvature in the plane  and lattice points close to
  the curve.\nFurthermore\, we extend the result to the case of affine latt
 ices. Finally\, we obtain similar results when the curve is a helix in thr
 ee dimensional space.\n
LOCATION:https://researchseminars.org/talk/CANT2022/53/
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