Nicolas Robles

collaborators

3 papers

math.NT2026

Exponential sums weighted by additive functions

Ayla Gafni, Nicolas Robles

We introduce a general class $F_{0}$ of additive functions $f$ such that $f (p) = 1$ and prove a tight bound for exponential sums of the form $\sum_{n \leq x} f (n) e (I^\pm n)$ where $f \in…

math.NT2026

A central limit theorem for partitions involving generalised divisor functions

Madhuparna Das, Nicolas Robles

We define an $f$ -restricted partition $p_{f} (n, k)$ of fixed length $k$ given by the bivariate generating series \begin{align*} Q_f(z,u) \coloneqq 1+\sum_{n=1}^{\infty}\sum_{k=1}^{\in…

math.NT2026

Bilinear forms with Kloosterman fractions and applications

Anji Dong, Nicolas Robles, Dirk Zeindler

We establish improved bounds for bilinear forms with Kloosterman fractions of the form $\sum\sum_{m, n} I^\pm_{m} I^_{n}^{2} e (a m / (bn))$ with $M < m \leq 2 M$ , $N < n \leq 2 N$ and $(m,n…