| Résume | The talk is concerned with counting the number of solutions to a system of inequalities of the form |F(x)| < A and ||x|| < B, where F is a real homogeneous form in n variables and A, B are parameters, requiring that the vector x should lie in a lattice. The presented results deal with the case where the lattice is chosen either randomly or deterministically. This is joint work with Oscar Marmon (Lund University).
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