C. Bueno

collaborators

3 papers

math.NT2026

Distribution of sums involving Dirichlet characters over the $k$ -free integers

Caio Bueno

Assuming the generalized Riemann hypothesis and a bound for the negative discrete moments of the Riemann zeta function (resp. Dirichlet $L$ -functions), we prove the existence of a…

math.NT2025

Modified Dirichlet character sums over the $k$ -free integers

Caio Bueno

The main question of this paper is the following: how much cancellation can the partial sums restricted to the $k$ -free integers up to $x$ of a $\pm 1$ multiplicative function $f$ …

math.NT2025

On the expected number of roots of a random Dirichlet polynomial

Marco Aymone, Caio Bueno

Let $T > 0$ and consider the random Dirichlet polynomial $S_{T} (t) = R e \sum_{n \leq T} X_{n} n^{- 1/2 - i t}$ , where $(X_{n})_{n}$ are i.i.d. Gaussian random variables with mean $0$ and varian…

Distribution of sums involving Dirichlet characters over the k-free integers

Modified Dirichlet character sums over the k-free integers

On the expected number of roots of a random Dirichlet polynomial

Distribution of sums involving Dirichlet characters over the $k$ -free integers

Modified Dirichlet character sums over the $k$ -free integers