Fermat's Last Theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Fermat's Last Theorem" in English language version.

Last modified: 23:16:18, 10 August 2026 (UTC)

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abelprize.no (Global: low place; English: low place)

"Abel Prize 2016". Archived from the original on 20 May 2020. Retrieved 16 March 2016.
"The Abel Prize citation 2016". The Abel Prize. The Abel Prize Committee. March 2016. Archived from the original on 20 May 2020. Retrieved 16 March 2016.

academia.edu (Global: 105^th place; English: 99^th place)

Abdeljaouad, Mahdi; Hedfi, Hmida (1986). "Vers une étude des aspects historiques et mathématiques des problèmes ouverts d'Ibn al-Khawwām". Histoire des Mathématiques Arabes (in French). pp. 157–178.

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ui.adsabs.harvard.edu

Buhler, J.; Crandall, R.; Ernvall, R.; Metsänkylä, T. (1993). "Irregular primes and cyclotomic invariants to four million". Mathematics of Computation. 61 (203): 151–153. Bibcode:1993MaCom..61..151B. doi:10.1090/S0025-5718-1993-1197511-5. JSTOR 2152942.
Castelvecchi, Davide (15 March 2016). "Fermat's last theorem earns Andrew Wiles the Abel Prize". Nature. 531 (7594): 287. Bibcode:2016Natur.531..287C. doi:10.1038/nature.2016.19552. PMID 26983518. S2CID 4383161.
Ribet, Ken (1990). "On modular representations of Gal(Q/Q) arising from modular forms" (PDF). Inventiones Mathematicae. 100 (2): 432. Bibcode:1990InMat.100..431R. doi:10.1007/BF01231195. hdl:10338.dmlcz/147454. MR 1047143. S2CID 120614740.
Adleman, L. M.; Heath-Brown, D. R. (June 1985). "The first case of Fermat's last theorem". Inventiones Mathematicae. 79 (2): 409–416. Bibcode:1985InMat..79..409A. doi:10.1007/BF01388981. S2CID 122537472.
Faltings, G. (1983). "Endlichkeitssätze für abelsche Varietäten über Zahlkörpern". Inventiones Mathematicae. 73 (3): 349–366. Bibcode:1983InMat..73..349F. doi:10.1007/BF01388432. S2CID 121049418.
Ribet, Ken (1990). "On modular representations of $\operatorname {Gal} ({\overline {\mathbb {Q} }}/\mathbb {Q} )$ arising from modular forms" (PDF). Inventiones Mathematicae. 100 (2): 431–476. Bibcode:1990InMat.100..431R. doi:10.1007/BF01231195. MR 1047143.

ams.org (Global: 434^th place; English: 249^th place)

mathscinet.ams.org

Cox, David A. (1994). "Introduction to Fermat's last theorem". The American Mathematical Monthly. 101 (1): 3–14. doi:10.1080/00029890.1994.11996897. JSTOR 2325116. MR 1252700.
Ribet, Ken (1990). "On modular representations of Gal(Q/Q) arising from modular forms" (PDF). Inventiones Mathematicae. 100 (2): 432. Bibcode:1990InMat.100..431R. doi:10.1007/BF01231195. hdl:10338.dmlcz/147454. MR 1047143. S2CID 120614740.
Thomaidis, Yannis (2005). "A framework for defining the generality of Diophantos' methods in Arithmetica". Archive for History of Exact Sciences. 59 (6): 591–640. doi:10.1007/s00407-005-0099-8. MR 2197277.
Mačys, J. J. (2007). "On Euler's hypothetical proof". Mathematical Notes. 82 (3–4): 352–356. doi:10.1134/S0001434607090088. MR 2364600. S2CID 121798358.
Ribet, Ken (1990). "On modular representations of $\operatorname {Gal} ({\overline {\mathbb {Q} }}/\mathbb {Q} )$ arising from modular forms" (PDF). Inventiones Mathematicae. 100 (2): 431–476. Bibcode:1990InMat.100..431R. doi:10.1007/BF01231195. MR 1047143.
Bennett, Curtis D.; Glass, A. M. W.; Székely, Gábor J. (2004). "Fermat's last theorem for rational exponents". American Mathematical Monthly. 111 (4): 322–329. doi:10.2307/4145241. JSTOR 4145241. MR 2057186.
Oesterlé, Joseph (1988). "Nouvelles approches du "théorème" de Fermat". Astérisque. Séminaire Bourbaki exp 694 (161): 165–186. ISSN 0303-1179. MR 0992208.

ams.org

Buhler, J.; Crandall, R.; Ernvall, R.; Metsänkylä, T. (1993). "Irregular primes and cyclotomic invariants to four million". Mathematics of Computation. 61 (203): 151–153. Bibcode:1993MaCom..61..151B. doi:10.1090/S0025-5718-1993-1197511-5. JSTOR 2152942.
"Beal Conjecture". American Mathematical Society. Retrieved 21 August 2016.
Granville, Andrew; Tucker, Thomas (2002). "It's As Easy As abc" (PDF). Notices of the American Mathematical Society. 49 (10): 1224–1231.

archive.org (Global: 6^th place; English: 6^th place)

Stark 1978, pp. 151–155 Stark, Harold (1978). An Introduction to Number Theory. MIT Press. ISBN 0-262-69060-8.
Aczel 1996, pp. 13–15 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Stark 1978, pp. 145–146 Stark, Harold (1978). An Introduction to Number Theory. MIT Press. ISBN 0-262-69060-8.
Stark 1978, p. 145 Stark, Harold (1978). An Introduction to Number Theory. MIT Press. ISBN 0-262-69060-8.
Aczel 1996, pp. 44–45 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, pp. 14–15 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Stark 1978, pp. 44–47 Stark, Harold (1978). An Introduction to Number Theory. MIT Press. ISBN 0-262-69060-8.
Dickson 1919, p. 545 Dickson, Leonard E. (1919). History of the Theory of Numbers. Diophantine Analysis. Vol. II. New York: Chelsea Publishing. pp. 545–550, 615–621, 688–691, 731–776.
Aczel 1996, p. 9 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, p. 10 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
van der Poorten 1996, Notes and Remarks 1.2, p. 5 van der Poorten, Alf (1996). Notes on Fermat's Last Theorem. WileyBlackwell. ISBN 978-0-471-06261-5.
Aczel 1996, p. 44 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, p. 57 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, pp. 84–88 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, pp. 109–114. Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, pp. 117–118 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, pp. 121–122 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, pp. 122–125 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, pp. 1–4, 126–128 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, pp. 128–130 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, pp. 132–134 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, p. 69 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.
Aczel 1996, p. 70 Aczel, Amir (1996). Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem. Four Walls Eight Windows. ISBN 978-1-56858-077-7.

arxiv.org (Global: 49^th place; English: 31^st place)

Cai, Tianxin; Chen, Deyi; Zhang, Yong (2015). "A new generalization of Fermat's Last Theorem". Journal of Number Theory. 149: 33–45. arXiv:1310.0897. doi:10.1016/j.jnt.2014.09.014. S2CID 119732583.

berkeley.edu (Global: 621^st place; English: 429^th place)

math.berkeley.edu

Ribet, Ken (1990). "On modular representations of Gal(Q/Q) arising from modular forms" (PDF). Inventiones Mathematicae. 100 (2): 432. Bibcode:1990InMat.100..431R. doi:10.1007/BF01231195. hdl:10338.dmlcz/147454. MR 1047143. S2CID 120614740.
Ribet, Ken (1990). "On modular representations of $\operatorname {Gal} ({\overline {\mathbb {Q} }}/\mathbb {Q} )$ arising from modular forms" (PDF). Inventiones Mathematicae. 100 (2): 431–476. Bibcode:1990InMat.100..431R. doi:10.1007/BF01231195. MR 1047143.

biodiversitylibrary.org (Global: 168^th place; English: 136^th place)

Günther, S. (1878). "Ueber die unbestimmte Gleichung $x^{3}+y^{3}=a^{3}$ ". Sitzungsberichte der Königliche böhmische Gesellschaft der Wissenschaften in Prag. jahrg. 1878-1880: 112–120.

bnf.fr (Global: 61^st place; English: 357^th place)

gallica.bnf.fr

Maillet, E. (1897). "Sur l'équation indéterminée ax^{λ^t} + by^{λ^t} = cz^{λ^t}". Association française pour l'avancement des sciences, St. Etienne, Compte Rendu de la 26me Session, deuxième partie. 26: 156–168.

books.google.com (Global: 3^rd place; English: 3^rd place)

Stillwell, J. (2003). Elements of Number Theory. New York: Springer-Verlag. pp. 110–112. ISBN 0-387-95587-9. Retrieved 17 March 2016.
Manin & Panchishkin 2007, p. 341 Manin, Yuri Ivanovic; Panchishkin, Alekseĭ Alekseevich (2007). "Fundamental problems, Ideas and Theories". Introduction to Modern Number Theory. Encyclopedia of Mathematical Sciences. Vol. 49 (2nd ed.). Berlin Hedelberg: Springer. ISBN 978-3-540-20364-3.
Krey, H. (1909). "Neuer Beweis eines arithmetischen Satzes". Mathematisch-Naturwissenschaftliche Blätter. 6 (12): 179–180.
Thue, Axel (1917). "Et bevis for at ligningen $A^{3}+B^{3}=C^{3}$ er unmulig i hele tal fra nul forskjellige tal $A$ , $B$ og $C$ ". Archiv for Mathematik og Naturvidenskab. 34 (15): 3–7. Reprinted in Selected Mathematical Papers (1977), Oslo: Universitetsforlaget, pp. 555–559
Devlin, Keith J. (1999). Mathematics: The New Golden Age. Columbia University Press. pp. 277–278. ISBN 9780231116398.
Wheels, Life and Other Mathematical Amusements, Martin Gardner
Singh, Simon (2013). The Simpsons and Their Mathematical Secrets. A&C Black. pp. 35–36. ISBN 978-1-4088-3530-2.

cnn.com (Global: 36^th place; English: 26^th place)

"300-year-old math question solved, professor wins $700k". CNN. 16 March 2016.

doi.org (Global: 2^nd place; English: 2^nd place)

Wiles 1995, p. 443, Abstract. Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 28 June 2003.
Buhler, J.; Crandall, R.; Ernvall, R.; Metsänkylä, T. (1993). "Irregular primes and cyclotomic invariants to four million". Mathematics of Computation. 61 (203): 151–153. Bibcode:1993MaCom..61..151B. doi:10.1090/S0025-5718-1993-1197511-5. JSTOR 2152942.
Wiles 1995. Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 28 June 2003.
Taylor, Richard; Wiles, Andrew (1995). "Ring-theoretic properties of certain Hecke algebras". Annals of Mathematics. 141 (3): 553–572. doi:10.2307/2118560. JSTOR 2118560.
Diamond, Fred (July 1996). "On Deformation Rings and Hecke Rings". Annals of Mathematics. 144 (1): 137–166. doi:10.2307/2118586. JSTOR 2118586.
Conrad, Brian; Diamond, Fred; Taylor, Richard (1999). "Modularity of certain potentially Barsotti-Tate Galois representations". Journal of the American Mathematical Society. 12 (2): 521–567. doi:10.1090/S0894-0347-99-00287-8. ISSN 0894-0347.
Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard (15 May 2001). "On the modularity of elliptic curves over Q: Wild 3-adic exercises". Journal of the American Mathematical Society. 14 (4): 843–939. doi:10.1090/S0894-0347-01-00370-8. ISSN 0894-0347.
Castelvecchi, Davide (15 March 2016). "Fermat's last theorem earns Andrew Wiles the Abel Prize". Nature. 531 (7594): 287. Bibcode:2016Natur.531..287C. doi:10.1038/nature.2016.19552. PMID 26983518. S2CID 4383161.
Cox, David A. (1994). "Introduction to Fermat's last theorem". The American Mathematical Monthly. 101 (1): 3–14. doi:10.1080/00029890.1994.11996897. JSTOR 2325116. MR 1252700.
Wiles (1995): "Frey's suggestion, in the notation of the following theorem, was to show that the (hypothetical) elliptic curve $y 2 = x (x + u p)(x - v p)$ could not be modular." Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 28 June 2003.
Ribet, Ken (1990). "On modular representations of Gal(Q/Q) arising from modular forms" (PDF). Inventiones Mathematicae. 100 (2): 432. Bibcode:1990InMat.100..431R. doi:10.1007/BF01231195. hdl:10338.dmlcz/147454. MR 1047143. S2CID 120614740.
Krantz, Steven G.; Parks, Harold R. (2014). A Mathematical Odyssey: Journey from the Real to the Complex. Springer US. p. 316. doi:10.1007/978-1-4614-8939-9. ISBN 9781461489399.
Thomaidis, Yannis (2005). "A framework for defining the generality of Diophantos' methods in Arithmetica". Archive for History of Exact Sciences. 59 (6): 591–640. doi:10.1007/s00407-005-0099-8. MR 2197277.
Kleiner 2000, p. 33. Kleiner, Israel (2000). "From Fermat to Wiles: Fermat's Last Theorem Becomes a Theorem" (PDF). Elemente der Mathematik. 55: 19–37. doi:10.1007/PL00000079. S2CID 53319514. Archived from the original (PDF) on 8 June 2011.
Mačys, J. J. (2007). "On Euler's hypothetical proof". Mathematical Notes. 82 (3–4): 352–356. doi:10.1134/S0001434607090088. MR 2364600. S2CID 121798358.
McLarty, Colin (2021). "Fermat's Last Theorem". Handbook of the History and Philosophy of Mathematical Practice. Springer International Publishing. pp. 1–23. doi:10.1007/978-3-030-19071-2_44-1. ISBN 9783030190712. See p. 21.
Rychlík, K. (1910). "On Fermat's last theorem for $n=4$ and $n=3$ ". Časopis Pro Pěstování Matematiky a Fysiky (in Bohemian). 39: 65–86. doi:10.21136/CPMF.1910.123359.{{cite journal}}: CS1 maint: unrecognized language (link)
Carmichael, R. D. (1913). "On the impossibility of certain Diophantine equations and systems of equations". American Mathematical Monthly. 20 (7). Mathematical Association of America: 213–221. doi:10.2307/2974106. JSTOR 2974106.
Grant, Mike; Perella, Malcolm (July 1999). "Descending to the irrational". The Mathematical Gazette. 83: 263–267. doi:10.2307/3619054. JSTOR 3619054.
Barbara, Roy (July 2007). "Fermat's last theorem in the case n = 4". The Mathematical Gazette. 91: 260–262. doi:10.1017/S002555720018163X. JSTOR 40378352.
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Rychlík, K. (1910). "On Fermat's last theorem for $n=5$ ". Časopis Pěst. Mat. (in Bohemian). 39: 185–195, 305–317. doi:10.21136/CPMF.1910.121877.{{cite journal}}: CS1 maint: unrecognized language (link)
Terjanian, G. (1987). "Sur une question de V. A. Lebesgue". Annales de l'Institut Fourier. 37 (3): 19–37. doi:10.5802/aif.1096.
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Swift, E. (1914). "Solution to Problem 206". American Mathematical Monthly. 21 (7): 238–239. doi:10.2307/2972379. JSTOR 2972379.
Breusch, R. (1960). "A simple proof of Fermat's last theorem for $n=6$ , $n=10$ ". Mathematics Magazine. 33 (5): 279–281. doi:10.2307/3029800. JSTOR 3029800.
Adleman, L. M.; Heath-Brown, D. R. (June 1985). "The first case of Fermat's last theorem". Inventiones Mathematicae. 79 (2): 409–416. Bibcode:1985InMat..79..409A. doi:10.1007/BF01388981. S2CID 122537472.
Faltings, G. (1983). "Endlichkeitssätze für abelsche Varietäten über Zahlkörpern". Inventiones Mathematicae. 73 (3): 349–366. Bibcode:1983InMat..73..349F. doi:10.1007/BF01388432. S2CID 121049418.
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Ribet, Ken (1990). "On modular representations of $\operatorname {Gal} ({\overline {\mathbb {Q} }}/\mathbb {Q} )$ arising from modular forms" (PDF). Inventiones Mathematicae. 100 (2): 431–476. Bibcode:1990InMat.100..431R. doi:10.1007/BF01231195. MR 1047143.
Taylor, R.; Wiles, A. (1995). "Ring theoretic properties of certain Hecke algebras". Annals of Mathematics. 141 (3): 553–572. doi:10.2307/2118560. JSTOR 2118560. OCLC 37032255.
Cai, Tianxin; Chen, Deyi; Zhang, Yong (2015). "A new generalization of Fermat's Last Theorem". Journal of Number Theory. 149: 33–45. arXiv:1310.0897. doi:10.1016/j.jnt.2014.09.014. S2CID 119732583.
Lenstra, H. W. Jr. (1992). "On the inverse Fermat equation". Discrete Mathematics. 106–107: 329–331. doi:10.1016/0012-365x(92)90561-s. hdl:1887/3835.
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Voles, Roger (July 1999). "Integer solutions of $a^{-2}+b^{-2}=d^{-2}$ ". The Mathematical Gazette. 83 (497): 269–271. doi:10.2307/3619056. JSTOR 3619056. S2CID 123267065.
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en.wikisource.org (Global: 82^nd place; English: 41^st place)

Œuvres de Fermat - I - Partie 2

eudml.org (Global: low place; English: low place)

Lebesgue, V. A. (1853). "Résolution des équations biquadratiques $z^{2}=x^{4}\pm 2^{m}y^{4}$ , $z^{2}=2^{m}x^{4}-y^{4}$ , $2^{m}z^{2}=x^{4}\pm y^{4}$ ". Journal de Mathématiques Pures et Appliquées. 18: 73–86.
Lebesgue, V. A. (1859). Exercices d'Analyse Numérique. Paris: Leiber et Faraguet. pp. 83–84, 89.
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hdl.handle.net (Global: 66^th place; English: 34^th place)

Ribet, Ken (1990). "On modular representations of Gal(Q/Q) arising from modular forms" (PDF). Inventiones Mathematicae. 100 (2): 432. Bibcode:1990InMat.100..431R. doi:10.1007/BF01231195. hdl:10338.dmlcz/147454. MR 1047143. S2CID 120614740.
Lenstra, H. W. Jr. (1992). "On the inverse Fermat equation". Discrete Mathematics. 106–107: 329–331. doi:10.1016/0012-365x(92)90561-s. hdl:1887/3835.

jstor.org (Global: 23^rd place; English: 15^th place)

Wiles 1995, p. 443, Abstract. Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 28 June 2003.
Buhler, J.; Crandall, R.; Ernvall, R.; Metsänkylä, T. (1993). "Irregular primes and cyclotomic invariants to four million". Mathematics of Computation. 61 (203): 151–153. Bibcode:1993MaCom..61..151B. doi:10.1090/S0025-5718-1993-1197511-5. JSTOR 2152942.
Wiles 1995. Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 28 June 2003.
Taylor, Richard; Wiles, Andrew (1995). "Ring-theoretic properties of certain Hecke algebras". Annals of Mathematics. 141 (3): 553–572. doi:10.2307/2118560. JSTOR 2118560.
Diamond, Fred (July 1996). "On Deformation Rings and Hecke Rings". Annals of Mathematics. 144 (1): 137–166. doi:10.2307/2118586. JSTOR 2118586.
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Wiles 1995. Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 28 June 2003.
Conrad, Brian; Diamond, Fred; Taylor, Richard (1999). "Modularity of certain potentially Barsotti-Tate Galois representations". Journal of the American Mathematical Society. 12 (2): 521–567. doi:10.1090/S0894-0347-99-00287-8. ISSN 0894-0347.
Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard (15 May 2001). "On the modularity of elliptic curves over Q: Wild 3-adic exercises". Journal of the American Mathematical Society. 14 (4): 843–939. doi:10.1090/S0894-0347-01-00370-8. ISSN 0894-0347.
Wiles (1995): "Frey's suggestion, in the notation of the following theorem, was to show that the (hypothetical) elliptic curve $y 2 = x (x + u p)(x - v p)$ could not be modular." Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 28 June 2003.
Taylor, R.; Wiles, A. (1995). "Ring theoretic properties of certain Hecke algebras". Annals of Mathematics. 141 (3): 553–572. doi:10.2307/2118560. JSTOR 2118560. OCLC 37032255.
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Fermat's Last Theorem (English Wikipedia)

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