3 papers
math.NT2004
Convolution Dirichlet series and a Kronecker limit formula for second-order Eisenstein series
Jay Jorgenson, Cormac O'Sullivan
The classical Kronecker limit formula gives the constant term of the non-holomorphic Eisenstein series E(z,s) for SL(2,Z) at s=1 in terms of the Dedekind eta function. Here we comp…
math.AG2000
Ample Divisors, Automorphic Forms and Shafarevich's Conjecture
Andrey Todorov, Jay Jorgenson
In this article we give a general approach to the following analogue of Shafarevich's conjecture for some polarized algebraic varieties; suppose that we fix a type of an algebraic…
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…