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, and we can explicitly construct it. Moreover, we prove an asymptotic formula for the number of zeros of the Lerch zeta-function on the right side of the critical line, whose main term is associated with the density function.
"The Density Function for the Value-Distribution of the Lerch Zeta-Function and Its Applications." Michigan Math. J. 69 (4) 849 - 889, October 2020. https://doi.org/10.1307/mmj/1586570481