On Turing's method for Artin $L$-functions and the Selberg class
Number Theory
2025-08-06 v1
Abstract
We derive explicit bounds for two general classes of -functions, improving and generalizing earlier known estimates. These bounds can be used, for example, to apply Turing's method for determining the number of zeros up to a given height.
Cite
@article{arxiv.2508.03023,
title = {On Turing's method for Artin $L$-functions and the Selberg class},
author = {Neea Palojärvi and Tianyu Zhao},
journal= {arXiv preprint arXiv:2508.03023},
year = {2025}
}