E. Sofos

collaborators

2 papers

math.NT2026

Square-root cancellation for sums of coefficients of $GL (m)$ -automorphic forms over values of random polynomials

Dimitrios Chatzakos, Efthymios Sofos

For arbitrary $m \geq 2$ and $d \geq 1$ , we establish square-root cancellation for sums of Fourier coefficients of $GL (m)$ -automorphic forms averaged over values of random d…

math.NT2026

The Bateman-Horn conjecture on average for generalized von Mangoldt Functions

Efthymios Sofos

We study the Bateman--Horn conjecture for generalised von Mangoldt functions. As an application, we prove that for $k \in {2, 3}$ , almost all Bouniakowsky polynomials represent i…

Square-root cancellation for sums of coefficients of GL(m)-automorphic forms over values of random polynomials

The Bateman-Horn conjecture on average for generalized von Mangoldt Functions

Square-root cancellation for sums of coefficients of $GL (m)$ -automorphic forms over values of random polynomials