Equidistribution of Primitive Rational Points on Expanding Horospheres
نویسندگان
چکیده
We confirm a conjecture of J. Marklof regarding the limiting distribution of certain sparse collections of points on expanding horospheres. These collections are obtained by intersecting the expanded horosphere with a certain manifold of complementary dimension and turns out to be of arithmetic nature. This result is then used along the lines suggested by J. Marklof to give an analogue of a result of W. Schmidt regarding the distribution of shapes of lattices orthogonal to integer vectors.
منابع مشابه
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تاریخ انتشار 2014