Herglotz–Zagier function

In mathematics, the Herglotz–Zagier function,Template:R named after Gustav Herglotz and Don Zagier,Template:R is the function

$F(x)=\sum _{n=1}^{\mathrm{\infty }}\{\frac{{\mathrm{\Gamma }}^{\prime }(nx)}{\mathrm{\Gamma }(nx)}-\log (nx)\}\frac{1}{n}.$

introduced by Template:Harvtxt who used it to obtain a Kronecker limit formula for real quadratic fields.Template:R