Article
On the Lattice Discrepancy of Ellipsoids of Rotation
Authors
Abstract
The objective of this paper is to prove that the number of lattice points AE (t) in the ellipsoid a u2 + u2 1 2 + a2 u2 t2 a 3 ≤ satisfies the asymptotic 4π AE a (t) = 3 t3 + Ot679/494+ε, for fixed a, large t, and any ε > 0. This improves upon the error term O t11/8+εknown before.
Keywords
Lattice points, lattice discrepancy, convex bodies, bodies of rotation, ellipsoids.
Citation
Nowak, W. G. (2009). On the lattice discrepancy of ellipsoids of rotation. Uniform Distribution Theory, 4(2), 101–114.
W. G. Nowak, “On the lattice discrepancy of ellipsoids of rotation,” Uniform Distribution Theory, vol. 4, no. 2, pp. 101–114, 2009.
Nowak WG. On the lattice discrepancy of ellipsoids of rotation. Uniform Distribution Theory. 2009;4(2):101–114.
Nowak, W. G. (2009), ‘On the lattice discrepancy of ellipsoids of rotation’, Uniform Distribution Theory, 4(2), pp. 101–114.
Nowak, Werner Georg. “On the Lattice Discrepancy of Ellipsoids of Rotation.” Uniform Distribution Theory, vol. 4, no. 2, 2009, pp. 101–114.
Nowak, Werner Georg. “On the Lattice Discrepancy of Ellipsoids of Rotation.” Uniform Distribution Theory 4, no. 2 (2009): 101–114.
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Published by: Engineering Journals
