Weyl's law for \(SL(3,\mathbb{Z})\setminus SL(3,\mathbb{R})/SO(3,\mathbb{R})\) (Q1919933)

The authors derive a Weyl's law, or asymptotic description of the distribution of eigenvalues of the Laplacian, on \(SL (3, \mathbb{Z}) \backslash SL(3, \mathbb{R})/ SO(3, \mathbb{R})\). Our main tool in this derivation is the Selberg trace formula for the space. Our Weyl's law, which refines the present theory for the space in question, is also seen to coincide with known results in the case where \(SL(3, \mathbb{Z})\) is replaced by a cocompact discrete subgroup.