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On the computation of algebraic modular forms

Lassina Dembélé

Number 14
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.

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