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

Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method
Using a recent method developed by Mahatab, we obtain an improved $Ω$-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 Kühleitner and Nowak.