Quantitative strong approximation for ternary quadratic forms II
Number Theory
2024-12-10 v1
Abstract
Let be a non-degenerate integral ternary quadratic form and let . We study growth of rational points on the affine quadric and show that they are equidistributed in the adelic space off a finite place. This is closely related to Linnik's problem. Our approach is based on the -variant of the Hardy--Littlewood circle method developed by Heath-Brown.
Keywords
Cite
@article{arxiv.2412.05903,
title = {Quantitative strong approximation for ternary quadratic forms II},
author = {Zhizhong Huang},
journal= {arXiv preprint arXiv:2412.05903},
year = {2024}
}