Mathematics – Number Theory
Scientific paper
2007-08-23
Mathematics
Number Theory
Scientific paper
We compute the asymptotics of the number of integral quadratic forms with prescribed orthogonal decompositions and, more generally, the asymptotics of the number of lattice points lying in sectors of affine symmetric spaces. A new key ingredient in this article is the strong wavefront lemma, which shows that the generalized Cartan decomposition associated to a symmetric space is uniformly Lipschitz.
Gorodnik Alexander
Oh Hee
Shah Nimish
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