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arXiv · hep-th/0107266

On SUSY-QM, fractal strings and steps towards a proof of the Riemann hypothesis

Carlos Castro·Alex Granik·Jorge Mahecha
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Abstract

We present, using spectral analysis, a possible way to prove the Riemann's hypothesis (RH) that the only zeroes of the Riemann zeta-function are of the form s=1/2+iλ_n. A supersymmetric quantum mechanical model is proposed as an alternative way to prove the Riemann's conjecture, inspired in the Hilbert-Polya proposal; it uses an inverse eigenvalue approach associated with a system of p-adic harmonic oscillators. An interpretation of the Riemann's fundamental relation Z(s) = Z(1-s) as a duality relation, from one fractal string L to another dual fractal string L' is proposed.

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Carlos Castro, Alex Granik, Jorge Mahecha. 2001-09-25. On SUSY-QM, fractal strings and steps towards a proof of the Riemann hypothesis. https://arxiv.org/abs/hep-th/0107266

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