The Hilbert Modular Surface for the Ideal (...5) and the Horrocks-Mumford Bundle.
The Hirzebruch-Mumford volume for the orthogonal group and applications.
The hybrid mean value of Dedekind sums and two-term exponential sums
In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.
The Index of Stickelberger Ideals of Order2 and Cuspidal Class Numbers .
The Kodaira dimension of certain moduli spaces of abelian surfaces
The Kubota symbol for the symplectic group over an imaginary quadratic number field.
The L2-Lefschetz numbers of Hecke operators.
The l-adic representations attached to a certain noncongruence subgroup.
The Laplace operator on a hyperbolic manifold. II. Eisenstein series and the scattering matrix.
The Laplace operator on hyperbolic three manifolds with cusps of non-maximal rank.
The laplacian operator on a Riemann surface
The laplacian operator on a Riemann surface, II
The laplacian operator on a Riemann surface, III
The large sieve in Riemann surfaces
The Lax-Phillips infinitesimal generator and the scattering matrix for automorphic functions
We study the infinitesimal generator of the Lax-Phillips semigroup of the automorphic scattering system defined on the Poincaré upper half-plane for SL₂(ℤ). We show that its spectrum consists only of the poles of the resolvent of the generator, and coincides with the poles of the scattering matrix, counted with multiplicities. Using this we construct an operator whose eigenvalues, counted with algebraic multiplicities (i.e. dimensions of generalized eigenspaces), are precisely the non-trivial zeros...
The Lefschetz Number of an Involution on the Space of Harmonic Cusp Forms of SL3.
The level 1 weight 2 case of Serre's conjecture.
The L-function L3(s, ...) is entire.
The Linnik conjecture. A local approach.
The local Jacquet-Langlands correspondence via Fourier analysis
Let be a locally compact non-Archimedean field, and let be a division algebra of dimension 4. The Jacquet-Langlands correspondence provides a bijection between smooth irreducible representations of of dimension and irreducible cuspidal representations of . We present a new construction of this bijection in which the preservation of epsilon factors is automatic. This is done by constructing a family of pairs , where is an order and is a finite-dimensional representation of a certain...