On Arithmetic Series involving the fractional part function
Number Theory
2022-09-22 v2
Abstract
We present new relationships between the work of H. Davenport and A. I. Popov. A new general formula involving the Von Mangoldt function is presented, as well as a criteria for the Riemann Hypothesis.
Keywords
Cite
@article{arxiv.1708.00115,
title = {On Arithmetic Series involving the fractional part function},
author = {Alexander E. Patkowski},
journal= {arXiv preprint arXiv:1708.00115},
year = {2022}
}