2 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
On the Asymptotic Behavior of Counting Functions Associated to Degenerating Hyperbolic Riemann Surfaces
Jonathan Huntley, Jay Jorgenson, Rolf Lundelius
We develop an asymptotic expansion of the spectral measures on a degenerating family of hyperbolic Riemann surfaces of finite volume. As an application of our results, we study the…