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SUMMARY:Nicolas Chevallier (Université de Haute Alsace)
DTSTART:20210405T161500Z
DTEND:20210405T173000Z
DTSTAMP:20260423T022035Z
UID:NEDNT/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/22/">M
 inimal vectors in $\\C^2$ and best constant for Dirichlet theorem over $\\
 C$</a>\nby Nicolas Chevallier (Université de Haute Alsace) as part of New
  England Dynamics and Number Theory Seminar\n\nLecture held in Online.\n\n
 Abstract\nWe study minimal vectors in lattices over Gaussian integers in $
 \\C^2$.We show that the index of the sub-lattice generated by two consecut
 ive minimal vectors in a lattice of $\\C^2$\, can be either $1$ or $2$.Nex
 t\, we describe the constraints on pairs of consecutive minimal vectors. T
 hese constraints  make it possible to find the best constant for Dirichlet
  theorem about approximations of complex numbers by quotient of Gaussian i
 ntegers.\n
LOCATION:https://researchseminars.org/talk/NEDNT/22/
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