Billards en polygones et groupes fuchsiens
Comment distribuer des points uniformément sur une sphère ? (D'après Lubotzky, Phillips et Sarnak)
Cuspidal functions and Diophantine approximation.
D-elliptic sheaves and the Langlands correspondence.
Distinguished representations and a Fourier summation formula
Divisor of the Selberg zeta function for kleinian groups
Dynamics of the continued fraction map and the spectral theory of SL (2, Z).
Eigenfunctions of the laplacian, quantum chaos, and computation
Eisenstein Matrix and Existence of Cusp Forms in Rank One Symmetric Spaces.
Euler constants for a Fuchsian group of the first kind
Exotic approximate identities and Maass forms
We obtain some approximate identities whose accuracy depends on the bottom of the discrete spectrum of the Laplace-Beltrami operator in the automorphic setting and on the symmetries of the corresponding Maass wave forms. From the geometric point of view, the underlying Riemann surfaces are classical modular curves and Shimura curves.
Explicit geodesic flow-invariant distributions using -representation ladders.
Extended automorphic forms on the upper half plane.
Fonctions zêta de Selberg et surfaces de géométrie finie
Fourier transformation and endoscopy. (Transformation de Fourier et endoscopie.)
Harmonic analysis in weighted -spaces
Hyperbolic lattice-point counting and modular symbols
For a cocompact group of we fix a real non-zero harmonic -form . We study the asymptotics of the hyperbolic lattice-counting problem for under restrictions imposed by the modular symbols . We prove that the normalized values of the modular symbols, when ordered according to this counting, have a Gaussian distribution.
Integral Representations of the Logarithmic Derivative of the Selberg Zeta Function
AMS Subj. Classification: MSC2010: 11F72, 11M36, 58J37We point out the importance of the integral representations of the logarithmic derivative of the Selberg zeta function valid up to the critical line, i.e. in the region that includes the right half of the critical strip, where the Euler product definition of the Selberg zeta function does not hold. Most recent applications to the behavior of the Selberg zeta functions associated to a degenerating sequence of finite volume, hyperbolic manifolds of...
Intertwining operators and residues. II. Invariant distributions
Invariant Distributions on the n-Fold Metapletic Covers of GL(r, F), F p-Adic.