## Abstract

Using the explicit action of the Hecke operators T(p) acting on the Fourier coefficients of Siegel modular forms of arbitrary degree and level, a short and elementary proof and a generalization of a result by Breulmann and Kohnen is obtained, which says that cuspidal eigenforms are determined by their coefficients on matrices of square-free content.

Translated title of the contribution | A weak multiplicity-one theorem for Siegel modular forms |
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Original language | English |

Pages (from-to) | 369 - 374 |

Number of pages | 6 |

Journal | Pacific Journal of Mathematics |

Volume | 211 (2) |

Publication status | Published - Oct 2003 |