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arXiv · 1402.7269

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

Lahoucine Elaissaoui
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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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BibTeXRIS

Lahoucine Elaissaoui. 2014-02-28. New proof of Tauberian theorem of Laplace Transform and Prime Number Theorem. https://arxiv.org/abs/1402.7269

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