R. de la Bretèche

collaborators

2 papers

math.NT2024

Mean values of arithmetic functions and application to sums of powers

Régis de la Bretèche, Gérald Tenenbaum

We provide new upper bounds for sums of certain arithmetic functions in many variables at polynomial arguments and, exploiting recent progress on the mean-value of the Erd\H os-Hoo…

math.NT2023

Note on the mean value of the Erdős--Hooley Delta-function

Régis de la Bretèche, Gérald Tenenbaum

For integer $n ⩾ 1$ and real $u$ , let $Δ (n, u) := ∣ {d : d ∣ n, e^{u} < d ⩽ e^{u + 1}} ∣$ . The Erdős--Hooley Delta-function is then defined by $Δ(n):=\max_{u\in{\…