The Density Function for the Value-Distribution of the Lerch Zeta-Function and Its Applications
The Density Function for the Value-Distribution of the Lerch Zeta-Function and Its Applications
The probabilistic study of the value-distributions of zeta-functions is one of the modern topics in analytic number theory. In this paper, we study a certain probability measure related to the value-distribution of the Lerch zeta-function. We prove that it has a density function which we can explicitly construct. Moreover, we …