Christos Katsivelos

collaborators

2 papers

math.NT2026

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 $I^$ acting on the three-dimensional hyperbolic space. Compared to the pointwise c…

math.NT2025

The hyperbolic lattice counting problem in large dimensions

Christos Katsivelos

For $n \geq 3$ and $I^$ 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 ex…