14 citations · 55 across the 22 of their papers we have counts for
27 papers
The hyperbolic circle problem over Heegner points
Dimitrios Chatzakos, Giacomo Cherubini, Stephen Lester +1
For the full modular group, we obtain a logarithmic improvement on Selberg's long-standing bound for the error term of the counting function in the hyperbolic circle problem over H…
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…
The distribution of Manin's iterated integrals of modular forms
Nils Matthes, Morten S. Risager
We determine the asymptotic distribution of Manin's iterated integrals of length at most 2. For all lengths we compute all the asymptotic moments. We show that if the length is at…
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…
Prime geodesics and averages of the Zagier -series
Olga Balkanova, Dmitry Frolenkov, Morten S. Risager
The Zagier -series encode data of real quadratic fields. We study the average size of these -series, and prove asymptotic expansions and omega results for the expansion. We t…