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Journal

Uniform Distribution Theory (UDT)


Volume & Issue

UDT. Volume 19. Issue 1 & 2


Published on

December, 2024


Pages

15-32


DOI

https://doi.org/10.2478/udt-2024-0003

Article

On the Distribution Modulo one of the a-Points of the k th Derivative of an L-Function in the Selberg Class


Authors

Mohammed Mekkaoui and Kamel Mazhouda


Abstract

Let F be an L-function from the Selberg class, F (k) be the kth derivative of F and a be an arbitrary fixed complex number. The solutions of F (k)(s)= a are called a-points. In this paper, we present a new zone without a-points of F (k) and we show that if F has a polynomial Euler product and satisfies the analogue of the Lindelöf hypothesis, then the a-points of F (k) are uniformly distributed modulo one.


Citation

Mekkaoui, M. & Mazhouda, K. (2024). On the Distribution Modulo one of the a-Points of the k th Derivative of an L-Function in the Selberg Class. Uniform distribution theory, 19(1-2), 15-32. https://doi.org/10.2478/udt-2024-0003