Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method
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.
Fields of Study & Subjects
Mathematical Approximation and Integration
Markov Chains and Monte Carlo Methods
Point processes and geometric inequalities
Publication details
- Journal / source
- Hardy-Ramanujan Journal
- Volume
- Volume 48 - 2025
- Publication date
- 27 April 2026
- Language
- EN