Quantitative strong approximation for ternary quadratic forms III

Zhizhong Huang

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arXiv · 2512.13091

Quantitative strong approximation for ternary quadratic forms III

Zhizhong Huang

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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 $\delta$-variant of the Hardy--Littlewood circle method developed by Heath-Brown.

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Zhizhong Huang. 2025-12-15. Quantitative strong approximation for ternary quadratic forms III. https://arxiv.org/abs/2512.13091

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