A Proof of the Riemann Hypothesis and Determination of the Relationship Between Non- Trivial Zeros of Zeta Functions and Prime Numbers

TL;DR

This paper proposes a new mathematical approach to prove the Riemann hypothesis and explores the relationship between non-trivial zeros of the zeta function and prime numbers, aiming to understand their distribution at large scales.

Contribution

It introduces novel methods to prove the Riemann hypothesis and to approximate the distribution of non-trivial zeros relative to prime numbers.

Findings

Established a relation linking non-trivial zeros of zeta to prime numbers

Provided an approximate shape of the zeros' distribution at large numbers

Suggested a valid pattern for zeros approaching infinity

Abstract

This analysis which uses new mathematical methods aims at proving the Riemann hypothesis and figuring out an approximate base for imaginary non-trivial zeros of zeta function at very large numbers, in order to determine the path that those numbers would take. This analysis will prove that there is a relation links the non-trivial zeros of zeta with the prime numbers, as well as approximately pointing out the shape of this relationship, which is going to be a totally valid one at numbers approaching infinity.