most citedValues of decomposable forms at S-integer points and tori orbits on homogeneous spaces

1 citations · 2 across the 2 of their papers we have counts for

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2 papers

math.NT2005★ 1 cited

Values of decomposable forms at S-integer points and tori orbits on homogeneous spaces

George Tomanov

We classify the closed orbits under the action of maximal tori on the S-adic homogeneous spaces. As an application, we prove that if the set of values at the integer points of any…

math.NT2005★ 1 cited

Flows on -arithmetic homogeneous spaces and applications to metric Diophantine approximation

Dmitry Kleinbock, George Tomanov

The main goal of this work is to establish quantitative nondivergence estimates for flows on homogeneous spaces of products of real and -adic Lie groups. These results have appl…