Toward the Riemann Hypothesis: A Superquadratic-Growth Framework for Zeta Moments and its Limits

Key Points

• The research aims to establish a framework linking zeta moments to Hankel-determinant structures and evaluate its limits regarding the Riemann Hypothesis.
• Developed an algebraic framework relating zeta moments to Hankel-determinants.
• Proposed 23 theorems and propositions to support the framework.
• Included formal verification using Lean 4 and Python scripts.
• Demonstrated links between zeta moments and Hankel determinants through the proposed framework.
• Outlined specific limits of the framework in contributing to the Riemann Hypothesis.
• Generated 23 propositions and theorems that illustrate various aspects of the findings.