Linear Relations of Siegel Poincare Series and Nonvanshing of the Central Value of Spinor L-functions
arXiv:2110.06254
Abstract
In this paper, we will first investigate the linear relations of a one parameter family of Siegel Poincaré series. Then we give the applications to the non-vanishing of Fourier coefficients of Siegel cusp eigenforms and the central values.
13 pages