Holomorphic Eisenstein series with Jacobian twists

dc.creatorBorisov, Lev A.
dc.date2004-10-14
dc.date2004-10-27
dc.date.accessioned2026-07-07T05:13:16Z
dc.date.available2026-07-07T05:13:16Z
dc.descriptionFor every point on the Jacobian of the modular curve $X_0(l)$ we define and study certain twisted holomorphic Eisenstein series. These are particular cases of a more general notion of twisted modular forms which correspond to sections on the modular curve $X_1(l)$ of the degree zero twists of line bundles of usual modular forms. We conjecture that a point on the Jacobian is rational if and only if the ratios of these twisted Eisenstein series of the same weights have rational coefficients.
dc.description19 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0410333
dc.identifierhttp://arxiv.org/abs/math/0410333
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72886
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11F11
dc.titleHolomorphic Eisenstein series with Jacobian twists
dc.typetext

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