Distribution of the values of the derivative of the Dirichlet $L$-functions at its $a$-points

Mohamed Taïb Jakhlouti, Kamel Mazhouda

In this paper, we study the value distribution of the derivative of a Dirichlet $L$-function $L^{\prime }(s,\chi )$ at the $a$-points ${\rho }_{a,\chi }={\beta }_{a,\chi }+i{\gamma }_{a,\chi }$ of $L(s,\chi ).$ We give an asymptot…