Formalization of the prime number theorem and Dirichlet's theorem

Mario Carneiro

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arXiv · 1608.02029

Formalization of the prime number theorem and Dirichlet's theorem

Mario Carneiro

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Abstract

We present the formalization of Dirichlet's theorem on the infinitude of primes in arithmetic progressions, and Selberg's elementary proof of the prime number theorem, which asserts that the number $\pi(x)$ of primes less than $x$ is asymptotic to $x/\log x$, within the proof system Metamath.

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BibTeX RIS

Mario Carneiro. 2016-08-05. Formalization of the prime number theorem and Dirichlet's theorem. https://arxiv.org/abs/1608.02029

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