Yu-chen Sun

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20242026

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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.NT2024

The critical-window profile for $d_{k}$ in short intervals

Yu-Chen Sun

We establish an almost-all transition theorem for the $k$ -fold divisor function in short intervals. Let $k \geq 2$ be fixed, let $ℓ = lo g lo g X$ , and set \[ D_k(X)=(\log X)^{k\log…

Local divisor correlations in almost all short intervals

The critical-window profile for dk​ in short intervals

The critical-window profile for $d_{k}$ in short intervals