Equidistribution conjecture for intersections of closed geodesics
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.
Sources & referencesView supporting material
Primary source
James Rickards, “Computing intersections of closed geodesics on the modular curve”, arXiv:1909.04103 (2021).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.