Simultaneous joint universality of Dirichlet L-functions and their derivatives, with applications

Authors

  • Hirofumi Nagoshi Faculty of Science and Technology, Gunma University, Kiryu, Gunma, Japan

DOI:

https://doi.org/10.32996/jmss.2026.7.6.4

Keywords:

Riemann zeta-function, Dirichlet L-function, derivatives, joint universality, a-point, value-distribution

Abstract

We establish a simultaneous joint universality theorem for Dirichlet L-function and their derivatives. This result unifies and extends the joint universality theorem for Dirichlet L-functions due to Bagchi, Gonek and Voronin, and the simultaneous universality theorem for the Riemann zeta-function and its derivatives recently obtained by the author. As an application of this generalized universality, we investigate the value-distribution of Dirichlet L-function and their derivatives.

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Published

2026-08-26

Issue

Vol. 7 No. 6

Section

Research Article

How to Cite

Nagoshi, H. (2026). Simultaneous joint universality of Dirichlet L-functions and their derivatives, with applications. Journal of Mathematics and Statistics Studies, 7(6), 24-30. https://doi.org/10.32996/jmss.2026.7.6.4