数学学院、所2022年系列学术活动（第4场）：翟文广 教授 中国矿业大学

+8675536550000,,211205916# (中国大陆)

+85230018898,,,2,211205916# (中国香港)

+8675536550000 (中国大陆)

+85230018898 (中国香港)

If the function $f$ is small, namely, $f(n)\ll n^\varepsilon,$ then the error term $E_f(x)$ in the asymptotic formula of $S_f(x)$ has the form $O(x^{1/2+\varepsilon}).$ We shall study the mean square of $E_f(x)$ and establish some new results of $E_f(x)$ for some special functions.