WEYL’S LAW FOR THE CUSPIDAL SPECTRUM OF SLn
نویسنده
چکیده
Let Γ be a principal congruence subgroup of SLn(Z) and let σ be an irreducible unitary representation of SO(n). Let N cus(λ, σ) be the counting function of the eigenvalues of the Casimir operator acting in the space of cusp forms for Γ which transform under SO(n) according to σ. In this paper we prove that the counting function N cus(λ, σ) satisfies Weyl’s law. Especially, this implies that there exist infinitely many cusp forms for the full modular group SLn(Z).
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