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arXiv · 1206.2792

The Error Term of the Summatory Euler Phi Function

N. A. Carella
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Abstract

A sharper estimate for the summatory Euler phi function $\sum_{n \leq x} \varphi(n)$ is presented in this work. It improves the established estimate in the current mathematical literature. In addition, an estimate for its reciprocal $\sum_{n \leq x} 1/\varphi(n)$ is also determined.

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N. A. Carella. 2012-06-12. The Error Term of the Summatory Euler Phi Function. https://arxiv.org/abs/1206.2792

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