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arXiv · 2305.09445

The Dirichlet series of the arithmetic derivative

Es-said En-naoui
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Abstract

The main object of this paper is to give the generalized von mangoldt function using the L-additive function which can help us to make it possible to calculate The Dirichlet series of the arithmetic derivative $\delta$ and Dirichlet series defined by: $$\sum \limits_{n\geq 1} \frac{f(n)\delta(n)}{n^s}$$ where $f$ is a classical arithmetic function.

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Es-said En-naoui. 2022-12-11. The Dirichlet series of the arithmetic derivative. https://arxiv.org/abs/2305.09445

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