DISTINCT DISTANCES ON HYPERBOLIC SURFACES
For any cofinite Fuchsian group Γ ⊂PSL(2,R), we show that any set of N points on the hyperbolic surface Γ\H2 determines ≥ CΓ N logN distinct distances for some constant CΓ > 0 depending only on Γ. In particular, for Γ being any finite index subgroup of PSL(2, Z) with μ = [PSL(2, Z) : Γ] < ∞, a...
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| Format: | Article |
| Language: | English |
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American Mathematical Society
2022
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| Online Access: | View Fulltext in Publisher |