Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908427026956288 |
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| author | Karak, Nilmoni |
| author_facet | Karak, Nilmoni |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22590 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method Karak, Nilmoni Number Theory 11P21, 11K38, 52C07 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. |
| title | Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method |
| topic | Number Theory 11P21, 11K38, 52C07 |
| url | https://arxiv.org/abs/2506.22590 |