New proof of Tauberian theorem of Laplace Transform and Prime Number Theorem

2014/02/28 by Lahoucine Elaissaoui, Elaissaoui, Lahoucine
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1402.7269

in French

arxiv created 2014/02/28 · arxiv updated 2014/03/03

Abstract

We give here a new proof of a Tauberian Theorem of complex Laplace transform using the Theory of measure and theory of function with bounded variations. However we deduce the simple proof of Prime Number Theorem.

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