Number Theory

    

Investigating Prime Gaps Through Zeta Behaviour [:] a Reexamination of the Riemann Hypothesis

Authors: Samuel Bonaya Buya

In this research prime gaps will be investigated through their zeta behaviour. A formulation will be presented that links prime gaps to singularities in ��(��). This is achieved byidentifying a zeta function for Goldbach partition and extending it to the Euler product. A zeta function is formulated that encodes information about Goldbach partitions. We beginthe paper by examining the logarithmic form of a complex variable and it’s decompostion to real and imaginary parts.

Comments: 5 Pages. Original article.

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[v1] 2025-04-01 20:55:54

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