14 citations · 46 across the 16 of their papers we have counts for
18 papers
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…
Counting and equidistribution over primes in hyperbolic groups
Yiannis N. Petridis, Morten S. Risager
We consider equidistribution of angles for certain hyperbolic lattice points in the upper half-plane. Extending work of Friedlander and Iwaniec we show that for the full modular gr…
Bounds on shifted convolution sums for Hecke eigenforms
Asbjorn Christian Nordentoft, Yiannis N. Petridis, Morten S. Risager
Shifted convolution sums play a prominent rôle in analytic number theory. We investigate pointwise bounds, mean-square bounds, and average bounds for shifted convolution sums for H…
Small scale equidistribution of Hecke eigenforms at infinity
Asbjorn Christian Nordentoft, Yiannis N. Petridis, Morten S. Risager
We investigate the equidistribution of Hecke eigenforms on sets that are shrinking towards infinity. We show that at scales finer than the Planck scale they do not equidistribute w…
Higher order deformations of hyperbolic spectra
Yiannis N. Petridis, Morten S. Risager
This is an expanded writeup of a talk given by the second author at Erik Balslev's 75th birthday conference on October 1-2, 2010 at Aarhus University. We summarize our work on Ferm…
Arithmetic statistics of modular symbols
Yiannis N. Petridis, Morten S. Risager
Mazur, Rubin, and Stein have recently formulated a series of conjectures about statistical properties of modular symbols in order to understand central values of twists of elliptic…