What question did this study set out to answer?

The aim is to advance understanding of the Riemann Hypothesis using a new spectral framework.

December 19, 2025Open Access

On the Establishment of the Riemann Hypothesis: A Spectral Framework Through Analytical Derivation

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Novel framework demonstrates numerical connection between zeta function zeros and spectral theory, implying new insights into the Riemann Hypothesis.

The aim is to advance understanding of the Riemann Hypothesis using a new spectral framework.
Constructed a quantum helical system with a specific Hamiltonian spectrum.
Applied conformal maps to analyze numerical relationships with zeta function zeros.
Developed six theorems relating to zero locations based on conformal symmetry.
Achieved numerical correspondence with the first 2000 non-trivial zeros of zeta(s) to precision 10^{-12}.
Presented insights linking spectral theory and quantum physics to analytic number theory.

Felipe Oliveira Souto (2025) studied this question.

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December 19, 2025Open Access

View Full Paper

Ask AI

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Authors

Novel framework demonstrates numerical connection between zeta function zeros and spectral theory, implying new insights into the Riemann Hypothesis.

The aim is to advance understanding of the Riemann Hypothesis using a new spectral framework.
Constructed a quantum helical system with a specific Hamiltonian spectrum.
Applied conformal maps to analyze numerical relationships with zeta function zeros.
Developed six theorems relating to zero locations based on conformal symmetry.
Achieved numerical correspondence with the first 2000 non-trivial zeros of zeta(s) to precision 10^{-12}.
Presented insights linking spectral theory and quantum physics to analytic number theory.

Felipe Oliveira Souto (2025) studied this question.

View Full Paper

Ask AI

Bookmark