2024/05/09 by Zhizhong Huang, Damaris Schindler, Huang, Zhizhong +3
Computer Science · Mathematics · #Approximation Theory and Sequence Spaces #FOS: Mathematics #Mathematical Analysis and Transform Methods #Matrix Theory and Algorithms #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2405.05592
openalex publication_date 2024/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive asymptotic formulas for the number of rational points on a smooth projective quadratic hypersurface of dimension at least three inside of a shrinking adelic open neighbourhood. This is a quantitative version of weak approximation for quadrics and allows us to deduce the best growth rate of the size of such an adelic neighbourhood for which equidistribution is preserved.