Péa Bazin

collaborators

2 papers

math.NT2025

Exponential sums over primes are unbounded

Péa Bazin

We prove prime exponential sums have no better than square root cancellation on average on short intervals, in the sense that $$\frac{1}{x} \sum_{-y< n\le x} \left|\sum_{\substack{…

math.NT2025

Bounded Exponential Sums with Multiplicative Coefficients

Pierre-Alexandre Bazin, Ihor Pylaiev, Fred Tyrrell

We investigate when the exponential sum $S_{f} (x, α) := \sum_{n \leq x} f (n) e (n α)$ is bounded, for a multiplicative function $f$ and $α \in R$ . We show that under natural…