Pierre-Alexandre Bazin

collaborators

2 papers

math.NT2026

A Bombieri-Vinogradov theorem for exponential sums over products of k primes

Péa Bazin

We prove a Bombieri-Vinogradov type theorem for exponential sums over products of $k$ primes. As an application, we show the lower bound $$\sup_{n\le x} \left|\sum_{m\le n} 1_{Ω(m)…

math.NT2024

Irreducibility of random polynomials of $Z [X]$

Pierre-Alexandre Bazin

In a recent paper, Bary-Soroker, Koukoulopoulos and Kozma proved that when $A$ is a random monic polynomial of $Z [X]$ of deterministic degree $n$ with coefficients $a_{j}$ d…

A Bombieri-Vinogradov theorem for exponential sums over products of k primes

Irreducibility of random polynomials of Z[X]

Irreducibility of random polynomials of $Z [X]$