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SUMMARY:Dong Han Kim (Dongguk University)
DTSTART:20241001T120000Z
DTEND:20241001T130000Z
DTSTAMP:20260423T021345Z
UID:OWNS/135
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/135/">U
 niform Diophantine approximation on the Hecke group $H_4$</a>\nby Dong Han
  Kim (Dongguk University) as part of One World Numeration seminar\n\n\nAbs
 tract\nDirichlet's uniform approximation theorem is a fundamental result i
 n Diophantine approximation that gives an optimal rate of approximation.\n
 We study uniform Diophantine approximation properties on the Hecke group $
 H_4$ in terms of the Rosen continued fractions.\nFor a given real number $
 \\alpha$\, the best approximations are convergents of the Rosen continued 
 fraction and the dual Rosen continued fraction of $\\alpha$.\nWe give anal
 ogous theorems of Dirichlet uniform approximation and the Legendre theorem
  with optimal constants.\nThis is joint work with Ayreena Bakhtawar and Se
 ul Bee Lee.\n
LOCATION:https://researchseminars.org/talk/OWNS/135/
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