Computing genus 2 Hilbert-Siegel modular forms over $\Q(\sqrt{5})$ via the Jacquet-Langlands correspondence

Simple item page
dc.creatorCunningham, Clifton
dc.creatorDembele, Lassina
dc.date2007-03-31
dc.date2008-08-20
dc.date.accessioned2026-07-07T09:57:11Z
dc.date.available2026-07-07T09:57:11Z
dc.descriptionIn 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 $\Q(\sqrt{5})$. In those examples, we identify Hilbert-Siegel eigenforms that are possible lifts from Hilbert eigenforms.
dc.description14 pages; title changed; to appear in Experimental Mathematics
dc.identifierhttps://arxiv.org/abs/0704.0011
dc.identifierhttp://arxiv.org/abs/0704.0011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167253
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11F42
dc.titleComputing genus 2 Hilbert-Siegel modular forms over $\Q(\sqrt{5})$ via the Jacquet-Langlands correspondence
dc.typetext

Files

Collections

arXiv