Quantitative strong approximation for ternary quadratic forms III
Number Theory
2025-12-16 v1
Abstract
We prove asymptotic formulas for counting (primitive) integral points with local conditions on the (punctured) affine cone defined by a non-singular integral ternary quadratic form, and we relate our results to the Brauer--Manin obstruction. Our approach is based on the -variant of the Hardy--Littlewood circle method developed by Heath-Brown.
Keywords
Cite
@article{arxiv.2512.13091,
title = {Quantitative strong approximation for ternary quadratic forms III},
author = {Zhizhong Huang},
journal= {arXiv preprint arXiv:2512.13091},
year = {2025}
}