## On a generalization of the Euler totient function

• 讲座人: 翟文广教授
• 讲座日期: 2021-05-08
• 讲座时间: 16:30
• 地点: 数学与统计学院学术交流厅（文津楼3211）

In a recent paper J. Kaczorowski defined the generalized Euler totient function $\varphi(n, F)$ corresponding to a polynomial Euler product $F$. Let $E(x, F)$ denote the error term in the asymptotic formula of the summatory function of $\varphi(n, F)$. J. Kaczorowski proved that the mean square of $E(x, F)$ has an asymptotic formula if $F$ satisfies GRH. We shall prove a sharper asymptotic formula under GRH.