Number Theory

    

Disproof of the Riemann Hypothesis

Authors: Igor Hrnčić

This paper demonstrates that many results about the Riemann Zeta Function in the literature are wrong, claiming an asymptotic estimate without checking the limit, or interchanging integration and summation when the infinite series diverges absolutely. The new Lemma is proved, proving new estimates about Zeta. These contradict known results, conditional on the truth of the Riemann Hypothesis. A stronger result holds too: any open vertical strip that holds the boundary of the Critical Strip also holds a zero of Zeta. The new Lemma can be applied to L-Functions too.

Comments: 3 Pages.

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[v1] 2025-08-07 11:18:24

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