81 citations · 174 across the 25 of their papers we have counts for
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math.NT2014
Best possible rates of distribution of dense lattice orbits in homogeneous spaces
Anish Ghosh, Alex Gorodnik, Amos Nevo
The present paper establishes upper and lower bounds on the speed of approximation in a wide range of natural Diophantine approximation problems. The upper and lower bounds coincid…
math.NT2014
The lattice point counting problem on the Heisenberg groups
Rahul Garg, Amos Nevo, Krystal Taylor
We consider the radial and Heisenberg-homogeneous norms on the Heisenberg groups given by , for and . This nat…
math.NT2014
Diophantine approximation exponents on homogeneous varieties
Anish Ghosh, Alexander Gorodnik, Amos Nevo
Recent years have seen very important developments at the interface of Diophantine approximation and homogeneous dynamics. In the first part of the paper we give a brief exposition…