Computing genus 2 Hilbert-Siegel modular forms over $\Q(\sqrt{5})$ via the Jacquet-Langlands correspondence
Number Theory
2008-08-20 v3 Algebraic Geometry
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 . In those examples, we identify Hilbert-Siegel eigenforms that are possible lifts from Hilbert eigenforms.
Keywords
Cite
@article{arxiv.0704.0011,
title = {Computing genus 2 Hilbert-Siegel modular forms over $\Q(\sqrt{5})$ via the Jacquet-Langlands correspondence},
author = {Clifton Cunningham and Lassina Dembele},
journal= {arXiv preprint arXiv:0704.0011},
year = {2008}
}
Comments
14 pages; title changed; to appear in Experimental Mathematics