What the study found: The study obtained an improved Omega-bound for the error term in the lattice counting problem for bodies of revolution in (mathbb R^3) around a coordinate axis with smooth boundary and bounded nonzero curvature.
Why the authors say this matters: The authors say this strengthens an earlier result by K"uhleitner and Nowak.
What the researchers tested: The paper applies a recent method developed by Mahatab to the lattice point discrepancy problem for these bodies of revolution.
What worked and what didn't: The method led to an improved Omega-bound compared with the earlier result mentioned in the abstract. No other outcomes are described in the available summary.
What to keep in mind: The abstract gives only a brief description of the setting and result, and does not provide details of the proof, the size of the improvement, or additional limitations.
Key points
- An improved Omega-bound was obtained for a lattice point error term.
- The result concerns bodies of revolution in (mathbb R^3) around a coordinate axis.
- The setting assumes a smooth boundary and bounded nonzero curvature.
- The authors say the new bound strengthens an earlier result by K"uhleitner and Nowak.
- The paper uses a recent method developed by Mahatab.
Disclosure
- Research title:
- Improved Omega bound for lattice point discrepancy in body of revolution
- Authors:
- Nilmoni Karak
- Institutions:
- Indian Institute of Technology Kharagpur
- Publication date:
- 2026-04-27
- OpenAlex record:
- View
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