arXiv:2303.09510 [math.NT]AbstractReferencesReviewsResources
The Generalized Riemann Hypothesis from zeros of the zeta function
Published 2023-03-16Version 1
We show that the Generalized Riemann Hypothesis for all Dirichlet L-functions is a consequence of certain conjectural properties of the zeros of the Riemann zeta function. Conversely, we prove that the zeros of $\zeta(s)$ satisfy those properties under GRH.
Comments: 8 pages; follow-up to an earlier paper arXiv:2205.04576
Categories: math.NT
Related articles: Most relevant | Search more
arXiv:1503.05701 [math.NT] (Published 2015-03-19)
Two estimates on the zeros of the first derivative of Dirichlet $L$-functions under the generalized Riemann hypothesis
arXiv:1505.00623 [math.NT] (Published 2015-05-04)
On the Value Distribution of Two Dirichlet L-functions
arXiv:1511.04603 [math.NT] (Published 2015-11-14)
On relations equivalent to the generalized Riemann hypothesis for the Selberg class