Here is the statement as I understand it to be, framed as a bijection of sets. My chief reference is the wonderful book Elliptic Curves, Modular Forms and their L-Functions by Álvaro Lozano-Robledo ...

Image Credit: The header image has been taken from Quanta Magazine (New Proof Distinguishes Mysterious and Powerful 'Modular Forms') At the end of February this year (2024), I finished (re-)learning ...

In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last Theorem, a central problem in number theory that had remained open ...

This is an elliptic curve over ℚ. By the Modularity Theorem — the theorem Wiles proved to establish Fermat's Last Theorem — TH (a,d) corresponds to a Hecke eigenform on the modular surface M = SL (2,ℤ ...

この命題は、「数学の異なる領域に存在する対称性の統一」という本質を持つ。より具体的には、数論的対象（楕円曲線やアーベル多様体）に潜む対称性（ガロワ群の表現）と、解析的対象（保型形式）に潜む対称性（保型表現）が、実は同じものであると ...

On June 23, 1993, the mathematician Andrew Wiles gave the last of three lectures detailing his solution to Fermat’s last theorem, a problem that had remained unsolved for three and a half centuries.

Andrew Wiles proved Fermat's Last Theorem in 1995 by demonstrating a special case of the modularity theorem for elliptic curves, showing that all semistable elliptic curves over Q are modular. In 1637 ...

On June 23, 1993, the mathematician Andrew Wiles gave the last of three lectures detailing his solution to Fermat's last theorem, a problem that had remained unsolved for three and a half centuries.

1 Department of Chemistry and Nanoscience, GLA University, Mathura, India. 2 Agriculture and Ecology Research Unit, Indian Statistical Institute, Kolkata, India. British mathematician Andrew Wiles ...

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