Number Theory

    

On the Constant Real Part of Non-Trivial Zeros: A Proof of the Riemann Hypothesis

Authors: Sriramadesikan Jagannathan

This paper presents a proof of the Riemann Hypothesis by examining the geometric and arithmetic properties of the Dirichlet eta function. By assuming the existence of zeros off the critical line, and analyzing the resulting alternating series in the complex plane, we establish a logical contradiction. The proof relies on insights into the structure of these series, demonstrating that all non-trivial zeros must possess a real part of exactly 12.

Comments: 11 Pages. References appended

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Submission history

[v1] 2026-02-04 23:16:46
[v2] 2026-02-10 09:39:21

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