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arXiv · 2506.22590

Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method

Nilmoni Karak
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Abstract

Using a recent method developed by Mahatab, we obtain an improved $\Omega$-bound for the error term arising in lattice counting problem of bodies of revolution in $\mathbb R^3$ around a coordinate axis and having smooth boundary with bounded nonzero curvature. This strengthens an earlier result by K\"uhleitner and Nowak.

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Nilmoni Karak. 2025-06-27. Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method. https://arxiv.org/abs/2506.22590

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