Published November 8, 2023 | Version v8
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Riemann's Functional Equation is Not Valid and its Implication on the Riemann Hypothesis

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Description

 

Riemann's "functional" equation was formulated by Bernhard Riemann in his 1859 paper. If it is valid, then a real function is obtained that has zeros similar to the hypothesized zeros of the Riemann zeta function.

The Riemann Hypothesis states that 'all the nontrivial zeros of the zeta function are at z = ½ + iy'. Thus, the Riemann's "functional" equation is the foundation upon which the Riemann Hypothesis is based. But the "functional" equation, as shall be shown here, is not valid such that the Riemann Hypothesis crumbles on its claim.

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