Hyperbolic distribution problems on Siegel 3-folds and Hilbert modular varieties

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dc.creatorCohen, Paula B.
dc.date2005-02-24
dc.date.accessioned2026-07-07T05:17:25Z
dc.date.available2026-07-07T05:17:25Z
dc.descriptionWe generalize to Hilbert modular varieties of arbitrary dimension the work of W. Duke (Inventiones 1988) on the equidistribution of Heegner points and of primitive positively oriented closed geodesics in the Poincare upper half plane, subject to certain subconvexity results. We also prove vanishing results for limits of cuspidal Weyl sums associated with analogous problems for the Siegel upper half space of degree 2. In particular, these Weyl sums are associated with families of Humbert surfaces in Siegel 3-folds and of modular curves in these Humbert surfaces.
dc.descriptionTo appear in Duke Math. J
dc.identifierhttps://arxiv.org/abs/math/0502493
dc.identifierhttp://arxiv.org/abs/math/0502493
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74295
dc.subjectNumber Theory
dc.subject11F37; 11F41
dc.titleHyperbolic distribution problems on Siegel 3-folds and Hilbert modular varieties
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