Christos Katsivelos

collaborators

3 papers

math.NT2026

Pointwise improvement of the error term in the higher rank hyperbolic lattice counting problem

Dimitrios Chatzakos, Panagiotis Dimakis, Christos Katsivelos

We prove an upper bound for the error term in the higher rank hyperbolic lattice counting problem for $SL (n, Z)$ . Blomer and Lutsko achieved recently a significan…

math.NT2025

The hyperbolic lattice counting problem in large dimensions

Christos Katsivelos

For $n \geq 3$ and $Γ$ a cocompact lattice acting on the hyperbolic space $H^{n}$ , we investigate the average behaviour of the error term in the circle problem. First, we exp…

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 $Γ$ acting on the three-dimensional hyperbolic space. Compared to the pointwise ca…