G. Tenenbaum

collaborators

2 papers

math.NT2026

On integral boxes of minimal surface

Jonathan Rotgé, Gérald Tenenbaum

Generalising the two-dimensional case, we provide estimates for the mean-values of the lengths of the edges of an integral box with given volume and minimal surface.

math.NT2025

On moments of the Erdős--Hooley Delta-function

R. de la Bretèche, G. 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{\…