# Computing Hilbert-Siegel modular forms over Q(5√) via the Jacquet-Langlands correspondence

Clifton Cunningham and Lassina Dembélé

Number | 13 |
---|---|

Author | Lassina Dembélé |

Project | A09 |

Year | 2008 |

In this paper we present an algorithm for computing Hecke eigensystems of Hilbert-Siegel cusp forms over real quadratic fields of narrow class number one. We give some illustrative examples using the quadratic field Q(5√). In those examples, we identify Hilbert-Siegel eigenforms that are possible lifts from Hilbert eigenforms.