The lattice point discrepancy of a body of revolution: Improving the lower bound by Soundararajan's method

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dc.creatorKühleitner, Manfred
dc.creatorNowak, Werner Georg
dc.date2004-01-16
dc.date.accessioned2026-07-07T06:26:52Z
dc.date.available2026-07-07T06:26:52Z
dc.descriptionFor a convex body B in three-dimensional Euclidean space, which is invariant under rotations around one coordinate axis and has a smooth boundary of bounded nonzero curvature, the lattice point discrepancy (number of integer points minus volume) of a linearly enlarged copy of B is estimated from below. On the basis of a recent method of K. Soundararajan, an Omega-bound is obtained that improves upon all earlier results of this kind.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0401195
dc.identifierhttp://arxiv.org/abs/math/0401195
dc.identifierArch. Math. (Basel) 83 (2004), 208-216
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97244
dc.subjectNumber Theory
dc.subject11P21
dc.titleThe lattice point discrepancy of a body of revolution: Improving the lower bound by Soundararajan's method
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