The Error Term of the Summatory Euler Phi Function

N. A. Carella

arXiv:1206.2792·math.GM·July 27, 2017·1 cites

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

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TopicsAnalytic Number Theory Research · Advanced Mathematical Identities · Advanced Mathematical Theories and Applications