2003/04/15 by Stephen D. Miller, Miller, Stephen D., Wilfried Schmid +1
Mathematics · #Advanced Mathematical Identities #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT
paper · pdf · doi:10.48550/arxiv.math/0304187
22 pages, to appear in "Non-commutative harmonic analysis: In honor of Jacques Carmona."
arxiv created 2003/04/15 · openalex publication_date 2003/04/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.