W. Zhai

activity

20082022

Δ (x)

(II)

56 citations · 90 across the 26 of their papers we have counts for

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math.NT2017

On certain integrals involving the Dirichlet divisor problem

Aleksandar Ivić, Wenguang Zhai

We prove that $\int_{1}^{X} Δ (x) Δ_{3} (x) d x ≪ X^{13/9} lo g^{10/3} X, \int_{1}^{X} Δ (x) Δ_{4} (x) d x ≪_{ε} X^{25/16 + ε},$ where $Δ_{k} (x)$ is the error term in the asy…

math.NT2017★ 11 cited

On multivariable averages of divisor functions

László Tóth, Wenguang Zhai

We deduce asymptotic formulas for the sums $\sum_{n_{1}, \dots, n_{r} \leq x} f (n_{1} \dots n_{r})$ and $\sum_{n_{1}, \dots, n_{r} \leq x} f ([n_{1} \dots n_{r}])$ , where $r \geq 2$ is a fixed integer, $[n…