Number Theory

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  • Number theory seminars
    • Next seminar: 
      Thu, 01/05
      Ilya Vinogradov (University of Bristol) Number Theory Seminar Add to calendar L5
      Let $ G=SL(2,\R)\ltimes R^2 $ and $ \Gamma=SL(2,Z)\ltimes Z^2 $. Building on recent work of Strombergsson we prove a rate of equidistribution for the orbits of a certain 1-dimensional unipotent flow of $ \Gamma\G $, which projects to a closed horocycle in the unit tangent bundle to the modular surface. We use this to answer a question of Elkies and McMullen by making effective the convergence of the gap distribution of $ \sqrt n $ mod 1.

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