R. Bretèche

activity

20042025

most citedOn Manin's conjecture for singular del Pezzo surfaces of degree four, I

1 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021

On the gap distribution of prime factors

Régis de la Bretèche, Gérald Tenenbaum

Let ${p_{j} (n)}_{j = 1}^{ω (n)}$ denote the increasing sequence of distinct prime factors of an integer $n$ . For $z ⩾ 0$ , let $G (n; z)$ denote the number of those indexes $j$ su…

math.NT2021

Exponential sums with multiplicative coefficients and applications

Régis de la Bretèche, Andrew Granville

We show that if an exponential sum with multiplicative coefficients is large then the associated multiplicative function is "pretentious". This leads to applications in the circle…