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math.NT2024
Average variance bounds for integer points on the sphere
Christopher Lutsko
Let denote the set of integer points on the sphere , projected radially onto the unit sphere. Under the usual congruence conditions on $…
math.NT2024
Lax-Phillips orbit counting in higher rank
Alex Kontorovich, Christopher Lutsko
Given a discrete lattice, , and a base point , let denote the number of points in the orbit whose (Eucl…