Athanasios Sourmelidis

activity

20212023

most citedBias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums

3 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2023

On restricted averages of Dedekind sums

Paolo Minelli, Athanasios Sourmelidis, Marc Technau

We investigate the averages of Dedekind sums over rational numbers in the set $F_{α} (Q) := {v / w \in Q : 0 < w \leq Q} \cap [0, α)$ for fixed $α \leq 1/2$ . In p…

math.NT2022★ 3 cited

Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums

Paolo Minelli, Athanasios Sourmelidis, Marc Technau

We investigate the number of steps taken by three variants of the Euclidean algorithm on average over Farey fractions. We show asymptotic formulae for these averages restricted to…

math.NT2021★ 1 cited

Pair Correlation of the Fractional Parts of $α n^{θ}$

Christopher Lutsko, Athanasios Sourmelidis, Niclas Technau

Fix $α, θ > 0$ , and consider the sequence $(α n^{θ} mod 1)_{n \geq 1}$ . Since the seminal work of Rudnick--Sarnak (1998), and due to the Berry--Tabor conjecture in quantum chaos, the fine…

On restricted averages of Dedekind sums

Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums

Pair Correlation of the Fractional Parts of αnθ

Pair Correlation of the Fractional Parts of $α n^{θ}$