Riemann's Last Theorem

2021/12/28 by BehzadCanaanie, Aric
Mathematics · #11M26 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM) #History and Theory of Mathematics

paper · pdf · doi:10.48550/arxiv.2201.00615

openalex publication_date 2021/12/28 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

The central idea of this article is to introduce and prove a special form of the zeta function as proof of Riemann's last theorem. The newly proposed zeta function contains two sub functions, namely f₁(b,s) and f₂(b,s). The unique property of ζ(s)=f₁(b,s)-f₂(b,s) is that as tends toward infinity the equality ζ(s)=ζ(1-s) is transformed into an exponential expression for the zeros of the zeta function. At the limiting point, we simply deduce that the exponential equality is satisfied if and only if \mathfrakR(s)=1/2. Consequently, we conclude that the zeta function cannot be zero if \mathfrakR(s)≠ 1/2, hence proving Riemann's last theorem.

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