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math.NT2025
The hyperbolic circle problem over Heegner points
Dimitrios Chatzakos, Giacomo Cherubini, Stephen Lester +1
For the full modular group, we obtain a logarithmic improvement on Selberg's long-standing bound for the error term of the counting function in the hyperbolic circle problem over H…
math.NT2025
Local average in the Hyperbolic sphere problem
Giacomo Cherubini, Christos Katsivelos
We consider a local average in the hyperbolic lattice point counting problem for the Picard group acting on the three-dimensional hyperbolic space. Compared to the pointwise ca…