In hyperbolic space H^n (n≥3) with a cocompact lattice, the averaged error in lattice counting diverges, and under two conjectures the local average over the quotient is O(X^{n-2+ε}).
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The hyperbolic lattice counting problem in large dimensions
In hyperbolic space H^n (n≥3) with a cocompact lattice, the averaged error in lattice counting diverges, and under two conjectures the local average over the quotient is O(X^{n-2+ε}).