# Computing genus 2 Hilbert-Siegel modular forms over $Qsqrt{5}$ via the Jacquet-Langlands correspondence - Mathematics Number Theory

Computing genus 2 Hilbert-Siegel modular forms over $Qsqrt{5}$ via the Jacquet-Langlands correspondence - Mathematics Number Theory - Download this document for free, or read online. Document in PDF available to download.

Abstract: In this paper we present an algorithm for computing Hecke eigensystems ofHilbert-Siegel cusp forms over real quadratic fields of narrow class numberone. We give some illustrative examples using the quadratic field$\Q\sqrt{5}$. In those examples, we identify Hilbert-Siegel eigenforms thatare possible lifts from Hilbert eigenforms.

Author: Clifton Cunningham, Lassina Dembele

Source: https://arxiv.org/