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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125065In 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x) f(p)This submission has been withdrawn by arXiv administrators because of fraudulently claimed institutional affiliation and statusGeneral Mathematics11.Mxx, 11Z05An explicit formula for Pi(x) in the form of a sum over the Non-trivial zeros of the Riemann Zeta functiontext