On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises

2001/05/15 by Christophe Breuil, Brian Conrad, Fred Diamond +1 · 6 citations
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Meromorphic and Entire Functions

paper · pdf · doi:10.1090/s0894-0347-01-00370-8

openalex publication_date 2001/05/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/23

Abstract

We complete the proof that every elliptic curve over the rational numbers is modular.

Citations

• Modular Elliptic Curves and Fermat's Last Theorem
• Éléments de géométrie algébrique : I. Le langage des schémas
• Ring-Theoretic Properties of Certain Hecke Algebras

Cited by

• Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers
• ARITHMETIC SPACE–TIME GEOMETRY FROM STRING THEORY
• Birch and Swinnerton-Dyer conjecture [wikipedia]
• List of unsolved problems in mathematics [wikipedia]
• Modularity theorem [wikipedia]
• Richard Taylor (mathematician) [wikipedia]