An explicit formula for Pi(x) in the form of a sum over the Non-trivial zeros of the Riemann Zeta function

Abstract

In this paper we discuss a method to express the Prime counting function as a "sum" over Non-trivial zeros of Riemann Zeta function, using techniques from Analytic Number Theory, also we apply our results to the sum over primes of any function Sum(p<x) f(p)

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