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July 18, 20260 citationsOpen Access

PFUSRC-093: From Ramanujan's Tau Function to the Proof of Fermat's Last Theorem

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ZWZhenmin Wang

Key Points

  • The aim is to provide a unified topological interpretation linking Ramanujan's tau function, the Taniyama-Shimura conjecture, and Fermat's Last Theorem.
  • Analyzes Ramanujan’s tau function within biconical topology frameworks.
  • Explores isomorphic mappings in modular forms and elliptic curves.
  • Divides mathematics into ontology, abstraction, and tool layers for a comprehensive interpretation.
  • Establishes a connection between biconical geometry and classic number theory results.
  • Demonstrates that complete 3D topological closure requires specific steady-state conditions.
  • Affirms the modular form-elliptic curve correspondence through geometric analysis.

Abstract

Ramanujan’s tau function, Taniyama-Shimura conjecture and Wiles’ proof of Fermat’s Last Theorem are three number-theoretic projections of biconical topology. The multiplicativity of tau function reflects latching stress coupling of prime anchor points on the bicone waist-ring. The modular form-elliptic curve correspondence proves isomorphic mapping between upper and lower cone projection layers. Fermat’s Last Theorem verifies that complete 3D topological closure cannot exist without standard biconical steady-state conditions. This paper divides mathematics into ontology, abstraction and tool layers, and offers a unified topological interpretation for classic number theory results without modifying existing mathematical proofs.

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Cite This Study

Zhenmin Wang (2026) studied this question.

synapsesocial.com/papers/6a5b191118557b26c203aa3ahttps://doi.org/10.5281/zenodo.21395281
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  1. 1On the Spectral Geometry of Number Space: A Unified Topological Proof of Fermat's Last Theorem and the Riemann Hypothesis2026
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  3. 3A Proof of Fermat's Last Theorem via the Golden Ratio Numeral System2026
  4. 4PFUSRC-101 From the 55-Closure to the Topological Anchoring of the Riemann Zeta Function—An Ontological Tracing of Arithmetic Projection2026
  5. 5A trigonometric centered solution for Fermat’s last theorem2026