On the Vertical Distribution of Values of $L$-functions in the Selberg Class
Number Theory
2022-06-28 v1
Abstract
We prove explicit formulae for -points of -functions from the Selberg class. Next we extend a theorem of Littlewood on the vertical distribution of zeros of the Riemann zeta-function to the case of -points of the aforementioned -functions. This result implies the uniform distribution of subsequences of -points and from this a discrete universality theorem in the spirit of Voronin is derived.
Keywords
Cite
@article{arxiv.2006.16884,
title = {On the Vertical Distribution of Values of $L$-functions in the Selberg Class},
author = {Athanasios Sourmelidis and Teerapat Srichan and Jörn Steuding},
journal= {arXiv preprint arXiv:2006.16884},
year = {2022}
}
Comments
28 pages