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

Tal Barnea

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arXiv · 1808.06653

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

Tal Barnea

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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.

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Tal Barnea. 2018-08-20. On the Riemann Zeta Function and the fractional part of rational powers. https://arxiv.org/abs/1808.06653

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