2 papers
math.NT2026
Square-root cancellation for sums of coefficients of -automorphic forms over values of random polynomials
Dimitrios Chatzakos, Efthymios Sofos
For arbitrary and , we establish square-root cancellation for sums of Fourier coefficients of -automorphic forms averaged over values of random d…
math.NT2025
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…