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December 2019 On certain mean values of logarithmic derivatives of $L$-functions and the related density functions
Masahiro Mine
Funct. Approx. Comment. Math. 61(2): 179-199 (December 2019). DOI: 10.7169/facm/1770

Abstract

We study some ``density functions'' related to the value-distributions of $L$-functions. The first example of such a density function was given by Bohr and Jessen in 1930s for the Riemann zeta-function. In this paper, we construct construct density functions for a wide class of $L$-functions. We prove that certain mean values of $L$-functions in this class are represented as integrals involving the related density functions.

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Masahiro Mine. "On certain mean values of logarithmic derivatives of $L$-functions and the related density functions." Funct. Approx. Comment. Math. 61 (2) 179 - 199, December 2019. https://doi.org/10.7169/facm/1770

Information

Published: December 2019
First available in Project Euclid: 26 October 2019

zbMATH: 07149355
MathSciNet: MR4042389
Digital Object Identifier: 10.7169/facm/1770

Subjects:
Primary: 11M41
Secondary: 11R42

Rights: Copyright © 2019 Adam Mickiewicz University

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Vol.61 • No. 2 • December 2019
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