Convolution of cuspforms with theta series and the generalized Voronoi formula

Convolution of cuspforms with theta series and the generalized Voronoi formula
Prof. Wenzhi Luo (Department of Mathematics The Ohio State University U.S.A)

Date 日期 Aug 6, 2009

Venue 地点 Room 1328 Zhiyuan Building (资源大厦) in Peking University, Beijing International Center for Mathematical Research

Time

14:30 - 15:30 6. Aug 2009

Abstract

We generalize the classical Voronoi formula, and as an application,we derive a sharp bound for the sum convolving the Fourier coefficients of holomorphic cusp forms with those of theta series.