English

On the Riemann Zeta Function and the fractional part of rational powers

Number Theory 2018-09-18 v3

Abstract

Using elementary methods we find surprising connections between the values of the Riemann Zeta Function over integers and the fractional parts of rational powers, and a connection between the Riemann Zeta Function and the Prime Zeta Function.

Keywords

Cite

@article{arxiv.1808.06653,
  title  = {On the Riemann Zeta Function and the fractional part of rational powers},
  author = {Tal Barnea},
  journal= {arXiv preprint arXiv:1808.06653},
  year   = {2018}
}