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fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Deconinck, Heline
Languages: English
Types: Doctoral thesis
Subjects: QA

Classified by OpenAIRE into

ACM Ref: ComputingMilieux_LEGALASPECTSOFCOMPUTING
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Chapter 5 Generalizing over totally real elds: preliminaries 55 5.1 Eichler-Shimura . . . . . . . . . . . . . . . . . . . . . . . . . . 56 5.2 The Frey curve and its modularity . . . . . . . . . . . . . . . 57 5.3 Level lowering . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 1 (mod 4) 3 (mod 4): 1 (mod 4) 3 (mod 4):
    • [1] D. Blasius, Elliptic curves, Hilbert modular forms, and the Hodge conjecture, Contributions to automorphic forms, geometry, and number theory, 83{103, Johns Hopkins Univ. Press, Baltimore, MD, 2004.
    • [2] W. Bosma, J. Cannon and C. Playoust, The Magma Algebra System I: The User Language, J. Symb. Comp. 24 (1997), 235{265. (See also http://magma.maths.usyd.edu.au/magma/)
    • [3] C. Breuil, B. Conrad, F. Diamond and R. Taylor, On the modularity of elliptic curves over Q: wild 3-adic exercises, J. Amer. Math. Soc. 14 No.4 (2001), 843{939.
    • [4] P. Charollois, Generalized Fermat equations (d'apres Halberstadt-Kraus) Clay Mathematics Proceedings, Volume 8, 2009, 83{89.
    • [18] E. Halberstadt and A. Kraus, Courbes de Fermat: resultats et problemes, J. reine angew. Math. 548 (2002), 167{234.
    • [19] Y. Hellegouarch http://www.math.unicaen.fr/ nitaj/hellegouarch.html.
    • [20] H. Hida, On abelian varieties with complex multiplication as factors of the Jacobians of Shimura curves, Amer. J. Math. 103 (1981), no. 4, 726{776.
    • [37] N. P. Smart, The Algorithmic Resolution of Diophantine Equations, London Mathematical Society Student Texts 41, 1998.
    • [39] R. L. Taylor and A. Wiles, Ring theoretic properties of certain Hecke algebras, Annals of Math. 141 (1995), 553{572.
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