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

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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-16
DOI
https://doi.org/10.5281/zenodo.21395281
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Zhenmin Wang
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

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

Zhenmin Wang
article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 8%
Advanced Mathematical Theories and Applications
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