Dimitrios Chatzakos

collaborators

3 papers

math.NT2020

On the distribution of lattice points on hyperbolic circles

Dimitrios Chatzakos, Par Kurlberg, Stephen Lester +1

We study the fine distribution of lattice points lying on expanding circles in the hyperbolic plane $H$ . The angles of lattice points arising from the orbit of the modular…

math.NT2018

Second Moment of the Prime Geodesic Theorem for $PSL (2, Z [i])$

Dimitrios Chatzakos, Giacomo Cherubini, Niko Laaksonen

The remainder $E_{Γ} (X)$ in the Prime Geodesic Theorem for the Picard group $Γ = PSL (2, Z [i])$ is known to be bounded by $O (X^{3/2 + ε})$ under the assumption of the Li…

math.NT2018

CM-points and Lattice counting on arithmetic compact Riemann surfaces

Montserrat Alsina, Dimitrios Chatzakos

Let $X (D, 1) = Γ (D, 1) \ H$ denote the Shimura curve of level $N = 1$ arising from an indefinite quaternion algebra of fixed discriminant $D$ . We study the discrete av…

On the distribution of lattice points on hyperbolic circles

Second Moment of the Prime Geodesic Theorem for PSL(2,Z[i])

CM-points and Lattice counting on arithmetic compact Riemann surfaces

Second Moment of the Prime Geodesic Theorem for $PSL (2, Z [i])$