Dimitrios Chatzakos

activity

20152026

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math.NT2026

Pointwise improvement of the error term in the higher rank hyperbolic lattice counting problem

Dimitrios Chatzakos, Panagiotis Dimakis, Christos Katsivelos

We prove an upper bound for the error term in the higher rank hyperbolic lattice counting problem for $SL (n, Z)$ . Blomer and Lutsko achieved recently a significan…

math.NT2026

Square root cancellation in the hyperbolic lattice counting problem over cocompact groups

Dimitrios Chatzakos, Panagiotis Dimakis

For cocompact Fuchsian groups $Γ \leq PSL (2, R)$ we improve Selberg's bound for the error term of the counting function in the hyperbolic lattice counting problem, a…

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…

Pointwise improvement of the error term in the higher rank hyperbolic lattice counting problem

Square root cancellation in the hyperbolic lattice counting problem over cocompact groups

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

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