Mean value results and $\Omega$-results for the hyperbolic lattice point problem in conjugacy classes

Dimitrios Chatzakos

For $\Gamma$ a Fuchsian group of finite covolume, we study the lattice point problem in conjugacy classes on the Riemann surface $\Gamma \backslash \mathbb{H}$. Let $\mathcal{H}$ be a hyperbo…