Explicit formulas of a generalized Ramanujan sum
Number Theory
2015-04-02 v3
Abstract
Explicit formulas involving a generalized Ramanujan sum are derived. An analogue of the prime number theorem is obtained and equivalences of the Riemann hypothesis are shown. Finally, explicit formulas of Bartz are generalized.
Cite
@article{arxiv.1311.2816,
title = {Explicit formulas of a generalized Ramanujan sum},
author = {Patrick Kühn and Nicolas Robles},
journal= {arXiv preprint arXiv:1311.2816},
year = {2015}
}
Comments
To appear in International Journal of Number Theory