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The lattice discrepancy of bodies bounded by a rotating Lamé’s curv

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Abstract.

This article provides an asymptotic result for the lattice point discrepancy of the special three-dimensional body\((x^2+y^2)^{k/2}+| z|^k\le t^k\) for fixed k > 2 and large t.

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Authors’ addresses: Ekkehard Krätzel, Faculty of Mathematics, University of Vienna, Nordbergstraße 15, 1090 Wien, Österreich; Werner Georg Nowak, Department of Integrative Biology, Institute of Mathematics, Universität für Bodenkultur Wien, Gregor Mendel-Straße 33, 1180 Wien, Österreich

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Krätzel, E., Nowak, W. The lattice discrepancy of bodies bounded by a rotating Lamé’s curv. Monatsh Math 154, 145–156 (2008). https://doi.org/10.1007/s00605-007-0509-x

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  • DOI: https://doi.org/10.1007/s00605-007-0509-x

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