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The aim is to develop an operator-theoretic framework interpreting classical features of the Riemann zeta function.

August 1, 2026Open Access

A Proposed Operator-Theoretic Framework for the Riemann Hypothesis

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The aim is to develop an operator-theoretic framework interpreting classical features of the Riemann zeta function.
Introduces an operator-theoretic framework on L^2(ℵ_Q/ℚ×)
Builds on existing approaches including Connes–Consani–Moscovici and Hardy's theorem
Analyzes conjectures and potential proofs related to the Riemann Hypothesis.
Proposes a spectral self-consistency condition for adélic truncation operators.
Formulates conjectures potentially falsifiable indicating pathways to the Riemann Hypothesis.
Presents informal numerical experiments supporting the conjecture.

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Proposed framework analyzes Riemann Hypothesis through operator theory, suggesting new proofs and conjectures.

Jeong Min Yeon (2026) studied this question.

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