An alternative proof of the Dirichlet prime number theorem

Haifeng Xu

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arXiv · 1511.03811

An alternative proof of the Dirichlet prime number theorem

Haifeng Xu

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Abstract

Dirichlet's theorem on arithmetic progressions called as Dirichlet prime number theorem is a classical result in number theory. Atle Selberg\cite{Selberg} gave an elementary proof of this theorem. In this article we give an alternative proof of it based on a previous result of us. Also we get an estimation of the prime counting function in the special cases.

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Haifeng Xu. 2017-05-16. An alternative proof of the Dirichlet prime number theorem. https://arxiv.org/abs/1511.03811

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