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arXiv · 2406.00786

Euler Product Sieve

Di Liu·Yuri Matiyasevich·Joseph Oesterlé·Alexandru Zaharescu
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Abstract

We study a class of approximations to the Riemann zeta function introduced earlier by the second author on the basis of Euler product. This allows us to justify Euler Product Sieve for generation of prime numbers. Also we show that Bounded Riemann Hypothesis (stated in a paper by the fourth author) is equivalent to conjunction the Riemann Hypothesis + the simplicity of zeros. 16 pages.

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Di Liu, Yuri Matiyasevich, Joseph Oesterlé, Alexandru Zaharescu. 2024-06-02. Euler Product Sieve. https://arxiv.org/abs/2406.00786

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