On some mean value results for the zeta-function and a divisor problem II

Aleksandar Ivić, Wenguang Zhai

Let $d(n)$ be the number of divisors of $n$, let $\gamma$ denote Euler's constant and $$\Delta (x):=\sum _{n\le x}d(n)-x(\log x+2\gamma -1)$$ denote the error term in the classical Dirichlet…