01 / Mathematics Preprint
Modular hyperbolas
Exact structure inside the Hall–Jackson–Sudbery–Wild window.
A classical construction becomes a precise extremal question: how many points can remain on a modular hyperbola when no three may lie on one line?
The work studies the HJSW window through symmetry, rich lines and exact counting. It gives a maximum within the stated construction and classifies the extremal configurations.
Where the claim stops.
The bound concerns the specified modular-hyperbola construction. It is not a solution to the general no-three-in-line problem.
Source: no3-results / README.md. Summary prepared from the local research record, 11 September 2026.
DOI 10.5281/zenodo.22063297 ↗Research led by Aleksei Kudriashov (Alex Komang). Mathematical paper and witness text/data: CC BY 4.0 where stated in the source repository.