On the Density Hypothesis for the Selberg class
Number Theory
2024-08-02 v1
Abstract
We prove a general zero density theorem on the Selberg class of functions. The result verifies the Density Hypothesis in the strip when the real part of the variable is at least 0.9 under the assumption that the degree of the function does not exceed 2. In the other cases we obtain a density theorem weaker than the Density Hypothesis.
Keywords
Cite
@article{arxiv.2408.00617,
title = {On the Density Hypothesis for the Selberg class},
author = {János Pintz},
journal= {arXiv preprint arXiv:2408.00617},
year = {2024}
}