Number Theory


Disproof of the Riemann Hypothesis

Authors: Igor Hrnčić

This paper disproves the Riemann hypothesis by generalizing the results from Titchmarsh's book The Theory of the Riemann Zeta-Function to rearrangements of conditionally convergent series that represent the reciprocal function of zeta. When one replaces the conditionally convergent series in Titchmarsh's theorems and consequent proofs by its rearrangements, the left hand sides of equations change, but the right hand sides remain invariant. This contradiction disproves the Riemann hypothesis.

Comments: 4 Pages. Rectified an obvious small error, sigma>1 instead of sigma>1/2, in the section Disproof of RH.

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Submission history

[v1] 2019-06-07 09:50:33
[v2] 2019-07-16 14:40:47

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