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arXiv · 1208.4641

Le th\'eor\`eme Taub\'erien pour la transformation de Laplace complexe et th\'eor\`eme des nombres premiers

Lahoucine Elaissaoui
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Abstract

This is a new proof of the tauberian theorem of complex Laplace transformation for getting a simple proof of the prime numbers theorem $\pi(x) \sim \frac{x}{\log(x)}$ for a largest real $x$.

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Lahoucine Elaissaoui. 2012-08-22. Le th\'eor\`eme Taub\'erien pour la transformation de Laplace complexe et th\'eor\`eme des nombres premiers. https://arxiv.org/abs/1208.4641

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