Equidistribution of primitive rational points on expanding horospheres

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Equidistribution of Primitive Rational Points on Expanding Horospheres

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 res...

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ژورنال

عنوان ژورنال: Compositio Mathematica

سال: 2015

ISSN: 0010-437X,1570-5846

DOI: 10.1112/s0010437x15007605