On the value-distributions of logarithmic derivatives of Dedekind zeta functions

Masahiro Mine

Published 2017-05-22Version 1

We study the distributions of values of logarithmic derivatives of the Dedekind zeta functions on a fixed vertical line. The main result is determining the density functions of such value-distributions for any algebraic number field. The Fourier transformations of the density functions have infinite product representations that come from the Euler products.