Wed, September 30, 2015
4:30 pm - 5:30 pm
Math Tower 154
Title: Double Dirichlet Series and Voronoi Formula
Speaker: Fan Zhou (OSU)
Abstract: We present a proof of Voronoi formula for coefficients of a large class of L-functions, in the style of the classical converse theorem of Weil. Our formula applies to Maass cusp forms, Rankin-Selberg convolutions, and certain isobaric sums. Our proof is based on the functional equations of L-functions twisted by Dirichlet characters and does not directly depend on automorphy and hence has wider application than previous proofs. The key ingredient is the construction of a double Dirichlet series associated with these coefficients. This is joint work with Eren Mehmet Kiral.
Seminar URL: https://research.math.osu.edu/reps/