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math.NT2018★ 5 cited
On certain mean values of logarithmic derivatives of -functions and the related density functions
Masahiro Mine
We study some "density function" related to the value-distribution of -functions. The first example of such a density function was given by Bohr and Jessen in 1930s for the Riem…
math.NT2018★ 1 cited
The density function for the value-distribution of the Lerch zeta-function and its applications
Masahiro Mine
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 re…