### Abstract

Using the mollifier method, we show that, for a positive proportion of holomorphic Hecke eigenforms of level one and weight bounded by a large enough constant, the associated symmetric square L-function does not vanish at the central point of its critical strip. We note that our proportion is the same as that found by other authors for other families of L-functions also having symplectic symmetry type.

Original language | English |
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Pages (from-to) | 736-762 |

Number of pages | 27 |

Journal | Proceedings of the London Mathematical Society |

Volume | 100 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 May 2010 |

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### ASJC Scopus subject areas

- Mathematics(all)