Javier Pliego

collaborators

2 papers

math.NT2025

Local divisor correlations in almost all short intervals

Javier Pliego, Yu-Chen Sun, Mengdi Wang

Let $k, l \geq 2$ be natural numbers, and let $d_{k}, d_{l}$ denote the $k$ -fold and $l$ -fold divisor functions, respectively. We analyse the asymptotic behavior of the sum $\sum_{x<n\l…

math.NT2025

On Vu's theorem in Waring's problem for thinner sequences

Javier Pliego

Let $k \in N$ and $s \geq k (lo g k + 3.20032)$ . Let $N_{0}^{k}$ be the set of $k$ -th powers of nonnegative integers. Assume that $I ¨ $ is an increasing function tendin…