Computing genus 2 Hilbert-Siegel modular forms over \Q(√(5)) via the Jacquet-Langlands correspondence

2007/03/31 by Cunningham, Clifton, Dembele, Lassina
#11F42 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0704.0011

Abstract

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.

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