Summation Formulas, from Poisson and Voronoi to the Present

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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.
22 pages, to appear in "Non-commutative harmonic analysis: In honor of Jacques Carmona."

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Number Theory, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/67077

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304187
 http://arxiv.org/abs/math/0304187

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arXiv