Mathematics – Number Theory
Scientific paper
2003-04-15
Mathematics
Number Theory
22 pages, to appear in "Non-commutative harmonic analysis: In honor of Jacques Carmona."
Scientific paper
We give an overview of classical summation formulations, such as Poisson's
and Voronoi's, and then turn to modern versions involving modular form
coefficients. A new formula involving the coefficients of cusp forms on GL(3)
is described, and its proof sketched, followed by applications to L-functions.
The main method used is the boundary value distribution of automorphic forms.
Miller Stephen D.
Schmid Wilfried
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