On the computation of Galois representations associated to level one modular forms

dc.creatorBosman, Johan
dc.date2007-10-05
dc.date.accessioned2026-07-07T08:34:25Z
dc.date.available2026-07-07T08:34:25Z
dc.descriptionIn this paper we explicitly compute mod-l Galois representations associated to modular forms. To be precise, we look at cases with l<=23 and the modular forms considered will be cusp forms of level 1 and weight up to 22. We present the result in terms of polynomials associated to the projectivised representations. As an application, we will improve a known result on Lehmer's non-vanishing conjecture for Ramanujan's tau function.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0710.1237
dc.identifierhttp://arxiv.org/abs/0710.1237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139430
dc.subjectNumber Theory
dc.subject11Y40 (Primary); 11F80 (Secondary)
dc.titleOn the computation of Galois representations associated to level one modular forms
dc.typetext

Files

Collections