Mertens' theorem and prime number theorem for Selberg class

Yoshikatsu Yashiro

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arXiv · 1311.0754

Mertens' theorem and prime number theorem for Selberg class

Yoshikatsu Yashiro

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Abstract

In 1874, Mertens proved the approximate formula for partial Euler product for Riemann zeta function at $s=1$, which is called Mertens' theorem. In this paper, we generalize Mertens' theorem for Selberg class and show the prime number theorem for Selberg class.

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Yoshikatsu Yashiro. 2014-07-18. Mertens' theorem and prime number theorem for Selberg class. https://arxiv.org/abs/1311.0754

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