paper

Non vanishing of Central values of modular L-functions for Hecke eigenforms of level one

arXiv:1001.5181

Abstract

Let F(z) be a newform of weight 2k and level one with a trivial character, and assume that F(z) is a non-zero eigenform of all Hecke operators. In this paper, we study nonvanishing for central values of twisted modular L-function of F.