3 papers
hep-th2003
Spectral theory of automorphic forms and analysis of invariant operators on with applications
Sultan Catto, Jonathan Huntley, Nam-Jong Moh +1
We study a variety of problems in the spectral theory of automorphic forms using entirely analytic techniques such as Selberg trace formula, asymptotics of Whittaker functions and…
math.SP1998
On an Analog of Selberg's Eigenvalue Conjecture for SL_3(Z)
Sultan Catto, Jonathan Huntley, Jay Jorgenson +1
Let H be the homogeneous space associated to the group PGL_3(R). Let X=Γ/H where Γ=SL_3(Z) and consider the first non-trivial eigenvalue λ_1 of the Laplacian on L^2(X). Using geome…
hep-th1998
Weyl's Law with Error Estimate
Sultan Catto, Jonathan Huntley, Nam Jong Moh +1
Let X=Sl(3,Z)\Sl(3,R)/SO(3,R). Let N(lambda) denote the dimension of the space of cusp forms with Laplace eigenvalue less than lambda. We prove that N(lambda)=C lambda^(5/2)+O(lamb…