Equidistribution conjecture for intersections of closed geodesics
Let be a fixed PIBQF, let be a discriminant, and let be the multiset of intersection points on the closed geodesic arising from and forms of discriminant .
Intersection equidistribution conjecture. As , the multiset is equidistributed on with respect to the hyperbolic metric.
This conjecture concerns the distribution of intersections of a fixed closed geodesic with geodesics associated to forms of growing discriminant. It was resolved by Junehyuk Jung and Naser Sardari.
References
Primary source
James Rickards, “Computing intersections of closed geodesics on the modular curve”, arXiv:1909.04103 (2021).
Progress summary
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