User:Timothy Clemans/Fermat's Last Theorem/B
Primary analysis[edit]
First case[edit]
Second case[edit]
Applications and Motivation[edit]
Implications of other theorem and conjectures[edit]
Shimura-Taniyama theorem[edit]
Serre's conjecture in generality[edit]
abc conjecture[edit]
History[edit]
Work of Pierre de Fermat[edit]
Work of Leonhard Euler[edit]
Work of Gustav Petter Lejeune Dirichlet and Adrien Marie Legendre[edit]
Work of Gabriel Lamé[edit]
Work of Sophie Germain[edit]
Work of Ernst Eduard Kummer[edit]
Work of Arthur Wieferich[edit]
Work of Gerd Faltings[edit]
Work of Barry Mazur[edit]
Work of Gerhard Frey[edit]
Work of Jean-Pierre Serre[edit]
Work of Ken Ribet[edit]
- Ribet, Ken (1990). "On modular representations of Gal (¯Q/Q) arising from modular forms" (PDF). Inventiones Mathematicae. 100: 431–476. doi:10.1007/BF01231195.
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Work of Andrew Wiles[edit]
- Wiles, Andrew (May 1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. doi:10.2307/2118559. JSTOR 2118559.
{{cite journal}}: Check date values in:|date=(help)- Wiles, Andrew (October 1988). "On ordinary λ-adic representations associated to modular forms" (PDF). Inventiones Mathematicae. 94 (3): 529–573. doi:10.1007/BF01394275.
{{cite journal}}: Check date values in:|date=(help) - Wiles, Andrew (May 1986). "On p-adic representations for totally real fields" (PDF). Annals of Mathematics. 123 (3): 407–456. doi:10.2307/1971332. JSTOR 1971332.
{{cite journal}}: Check date values in:|date=(help) - Wiles, Andrew (February 1980). "Modular Curves and the class group of Q(ςp)" (PDF). Inventiones Mathematicae. 58 (1): 1–35. doi:10.1007/BF01402272.
{{cite journal}}: Check date values in:|date=(help) - Wiles, Andrew (May 1990). "The Iwasawa conjecture for totally real fields" (PDF). Annals of Mathematics. 131 (3): 493–540. doi:10.2307/1971468. JSTOR 1971468.
{{cite journal}}: Check date values in:|date=(help)
- Wiles, Andrew (October 1988). "On ordinary λ-adic representations associated to modular forms" (PDF). Inventiones Mathematicae. 94 (3): 529–573. doi:10.1007/BF01394275.
- Taylor, Richard (May 1995). "Ring theoretic properties of certain Hecke algebras" (PDF). Annals of Mathematics. 141 (3): 553–572. doi:10.2307/2118560. JSTOR 2118560.
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