The Mangoldt function and the non-trivial zeros of the Riemann zeta function
Number Theory
2019-02-05 v2
Abstract
We prove a formula for the Mangoldt function which relates it to a sum over all the non-trivial zeros of the Riemann zeta function, in addition we analize a truncated version of it.
Cite
@article{arxiv.1705.06367,
title = {The Mangoldt function and the non-trivial zeros of the Riemann zeta function},
author = {Jesús Guillera},
journal= {arXiv preprint arXiv:1705.06367},
year = {2019}
}
Comments
15 pages. We have added a new formula for the spectrum of the prime numbers