Title: Non-vanishing of the central value of the symmetric square L-function

Abstract: Let F denote the collection of holomorphic Hecke cusp forms of level 1 and weight less than K. It is conjectured that the central value of the symmetric square L-function lifted from any form in F is nonzero. We show that a positive percentage of these central values are nonzero for large enough K. The same percentage has appeared for other L-functions, all related by belonging to the so called symplectic family of L-functions.