Published August 12, 2025 | Version v1

A Pure Natural Mathematics Proof of the Riemann Hypothesis

Authors/Creators

Description

👤 Author

  • Ivan Pasev,
    Founder, GILC | Founder, Digital Fabrica Theory, Global Institute of Logic and Cybernetics

đź§  Description 

This paper provides a complete and rigorous proof of the Riemann Hypothesis (RH), authored by Eng. Ivan Pasev. The proof integrates classical analytic number theory, knot invariants, and modular form regularization within the Digital Fabrica Theory (DFT) framework. Non-trivial zeros of the Riemann zeta function are encoded as Alexander-polynomial-based knots, stabilized by modular weights derived from Ramanujan’s tau function and partition theory. The contradiction arises from Nicolas’ inequality when assuming any zero off the critical line. A recursive fractal structure governed by Hausdorff dimension DH = 1.5 guarantees logical scalability. This work anchors RH within a self-consistent, infinite-scale mathematical framework.

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Pure Natural Mathematics Proof of the Riemann Hypothesis.pdf

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