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

2017/05/17 by Guillera, Jesús
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1705.06367

Abstract

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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