  This paper is third in a series of three, following "Summation Formulas, from
Poisson and Voronoi to the Present" (math.NT/0304187) and "Distributions and
Analytic Continuation of Dirichlet Series" (math.FA/0403030). The first is
primarily an expository paper explaining the present one, whereas the second
contains some distributional machinery used here as well. These papers concern
the boundary distributions of automorphic forms, and how they can be applied to
study questions about cusp forms on semisimple Lie groups. The main result of
this paper is a Voronoi-style summation formula for the Fourier coefficients of
a cusp form on GL(3,Z)\GL(3,R). We also give a treatment of the standard
L-function on GL(3), focusing on the archimedean analysis as performed using
distributions. Finally a new proof is given of the GL(3)xGL(1) converse theorem
of Jacquet, Piatetski-Shapiro, and Shalika. This paper is also related to the
later papers math.NT/0402382 and math.NT/0404521.
