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arxiv: 1705.06367 · v2 · pith:2P53GMBSnew · submitted 2017-05-17 · 🧮 math.NT

The Mangoldt function and the non-trivial zeros of the Riemann zeta function

classification 🧮 math.NT
keywords functionmangoldtnon-trivialriemannzeroszetaadditionanalize
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We prove a formula for the Mangoldt function which relates it to a sum over all the non-trivial zeros of the Riemann zeta function, in addition we analize a truncated version of it.

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