# On the computation of algebraic modular forms

Lassina Dembélé

Number | 14 |
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Author | Lassina Dembélé |

Project | A09 |

Year | 2008 |

In this paper, we revisit the theory of Brandt matrices for algebraic modular forms. We then apply this to the computation of Hilbert-Siegel modular forms of genus 2 over totally real number fields of narrow class number one. Some numerical examples of eigensystems of Hilbert-Siegel modular forms of genus 2 over Q(2√) are provided.