G. Tenenbaum

activity

20062023

most citedFriable averages of oscillating multiplicative functions

2 citations · 6 across the 16 of their papers we have counts for

collaborators

Showing 2023 · math.NTShow all

3 papers · 2 filters

math.NT2023

On the friable mean-value of the Erdős-Hooley Delta function

Bruno Martin, Gérald Tenenbaum, Julie Wetzer

For integer $n$ and real $u$ , define $Δ (n, u) := ∣ {d : d ∣ n, e^{u} < d ⩽ e^{u + 1}} ∣$ . Then, put $Δ (n) := max_{u \in R} Δ (n, u) .$ We provide uniform uppe…

math.NT2023

On simply normal numbers with digit dependencies

Verónica Becher, Agustín Marchionna, Gérald Tenenbaum

Given an integer $b ⩾ 2$ and a set $P$ of prime numbers, the set $T_{P}$ of Toeplitz numbers comprises all elements of $[0, b [$ whose digits $(a_{n})_{n ⩾ 1}$ in the base…

math.NT2023

Friable averages of complex arithmetic functions

Régis de la Bretèche, Gérald Tenenbaum

We evaluate friable averages of arithmetic functions whose Dirichlet series is analytically close to some complex power of the Riemann zeta function. We obtain asymptotic expansion…