PreprintarXiv licencearXiv
Counting integral points near curves: an exposition
Abstract
We give a detailed account of the recent work of Hickman and Srivastava on counting integral points in a $ δ$-neighbourhood of a dilate $ q \mathcal{M} $ of a non-degenerate curve $ \mathcal{M} \subset \mathbb{R}^{n} $, $ n \ge 3 $. Our aim is expository: we simplify the proof, provide additional details, refine the statement of the theorem and provide calculations from a more fundamental perspective. We also formulate a new conjecture based on recent work of Chen, Seeger, Srivastava and Technau.
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BibTeX
@misc{wu2026counting,
title = {{Counting integral points near curves: an exposition}},
author = {Tianliang Wu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.29643},
eprint = {2608.29643},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29643},
}
RIS
TY - UNPB
TI - Counting integral points near curves: an exposition
AU - Tianliang Wu
PY - 2026
DA - 2026/09/13
PB - arXiv
DO - 10.48550/arxiv.2608.29643
UR - https://arxiv.org/abs/2608.29643
AB - We give a detailed account of the recent work of Hickman and Srivastava on counting integral points in a $ δ$-neighbourhood of a dilate $ q \mathcal{M} $ of a non-degenerate curve $ \mathcal{M} \subset \mathbb{R}^{n} $, $ n \ge 3 $. Our aim is expository: we simplify the proof, provide additional details, refine the statement of the theorem and provide calculations from a more fundamental perspective. We also formulate a new conjecture based on recent work of Chen, Seeger, Srivastava and Technau.
ER -