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

2012/08/22 by Lahoucine Elaissaoui, Elaissaoui, Lahoucine
Mathematics · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1208.4641

openalex publication_date 2012/08/22 · openalex created_date 2022/09/13 · openalex updated_date 2026/07/28

Abstract

This is a new proof of the tauberian theorem of complex Laplace\ntransformation for getting a simple proof of the prime numbers theorem \π(x)\n\∼ \(x)/(\log(x)) for a largest real x.\n

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