2 papers
math.NT2025
A relative trace formula and counting geodesic arcs in the hyperbolic plane
Dimitrios Lekkas, Yiannis Petridis
We study a modification of the hyperbolic circle problem: instead of all elements of a Fuchsian group , we consider the double cosets by two hyperbolic subgroups. This has a geo…
math.NT2024
Large Sieve Inequalities for periods of Maass forms
Dimitrios Lekkas, Marios Voskou
For a Fuchsian Group of the first kind, we obtain large sieve inequalities with weights the hyperbolic periods of Maass forms of even weight. This is inspired by work of Chamiz…