Year: 2025
Type: preprint
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 $δ$-variant of the Hardy--Littlewood circle method developed by Heath-Brown.
Source: arXiv (Cornell University)
Author: Huang, Zhizhong
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4417455688
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