Number Theory

   

Fundamental Algebraic Disproof of the Riemann Hypothesis in the Logarithmic Derivative

Authors: Daniel Eduardo Ruiz

In this paper we prove the fundamental contradiction about the Riemann Hypothesis, expressing a function as a product and given the following summation, where $R$ is the set of all solutions of $R(x)=0$:begin{equation}frac{R'(x)}{R(x)}=sum_{rin R}left(frac{1}{x-r}ight)end{equation}And considering a regularization for hypertranscendental functions, then the expression applied in Riemann Zeta function of $frac{1}{2}$, or the logarithmic derivative, where $R_t$ is the set of tirivial zeros:begin{equation}frac{zeta'(frac{1}{2})}{zeta(frac{1}{2})}eq sum_{rin R_t}left(frac{1}{frac{1}{2}-r}ight)end{equation}

Comments: 5 Pages.

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Submission history

[v1] 2024-10-16 19:41:18

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