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arXiv · 1108.2020

Logarithmic and absolute-value like properties of $\pi(x)$ with applications

Boris B. Benyaminov
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Abstract

We derive properties of $\pi(x)$ reminiscent of those of the logarithm and absolute value functions. Two of these properties are similar to the relations defining the linearity of a function. Several applications of these properties of $\pi(x)$ are also examined.

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Boris B. Benyaminov. 2011-08-09. Logarithmic and absolute-value like properties of $\pi(x)$ with applications. https://arxiv.org/abs/1108.2020

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