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

hrj:17909 - Hardy-Ramanujan Journal, April 27, 2026, Volume 48 - 2025 - https://doi.org/10.46298/hrj.2026.17909
Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance MethodArticle

Authors: Nilmoni Karak 1


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 Kühleitner and Nowak.


Volume: Volume 48 - 2025
Published on: April 27, 2026
Accepted on: April 27, 2026
Submitted on: April 3, 2026
Keywords: Primary 11P21, 11K38; Secondary 52C07, [MATH]Mathematics [math], [en] Omega Bound, Lattice Point