On the error term in the explicit formula of Riemann-von Mangoldt II
Number Theory
2026-02-24 v3
Abstract
We give an explicit error term for the truncated Riemann--von Mangoldt explicit formula. For large , this provides a modest improvement over previous work, which we demonstrate via an application to a result on primes between consecutive powers.
Keywords
Cite
@article{arxiv.2402.04272,
title = {On the error term in the explicit formula of Riemann-von Mangoldt II},
author = {Michaela Cully-Hugill and Daniel R. Johnston},
journal= {arXiv preprint arXiv:2402.04272},
year = {2026}
}
Comments
19 pages, minor corrections