36
Views
4
CrossRef citations to date
0
Altmetric
Original Article

Critical Values of Derivatives of Twisted Elliptic L-Functions

&
Pages 149-160 | Published online: 30 Jan 2011

  • Christophe Breuil, Brian Conrad, Fred Diamond, and Richard Taylor. "On the Modularity of Elliptic Curves over ℚ: Wild 3-adic Exercises." J. Amer. Math. Soc. 14:4 (2001), 843–939 (electronic).
  • D. Burns. "Leading Terms and Values of Equivariant Motivic L-Functions." To appear in Pure and Applied Math. Quarterly 6 (2010) (John Tate Special Issue, Part II).
  • D. Burns and M. Flach. "Tamagawa Numbers for Motives with (Non-commutative) Coefficients." Documenta Math. 6 (2001), 501–570.
  • J. E. Cremona. Algorithms for Modular Elliptic Curves. Cambridge, UK: Camb. Univ. Press, 1992.
  • P. Deligne. "Valeurs de fonctions L et périods d'intégrales." In Automorphic Forms, Representations, and L-Functions, Proc. Symp. Pure Math. 33, part 2, pp. 313– 346. Providence: Amer. Math. Soc., 1979.
  • T. and V. Doktchitser, On the Birch-Swinnerton-Dyer Quotients Modulo Squares, to appear, Annals of Math. 2010.
  • B. Mazur. "On the Arithmetic of Special Values of L-Functions." Invent. Math. 55 (1979), 207–240.
  • B. Mazur, J. Tate, and J. Teitelbaum. "On p-adic Analogues of the Conjectures of Birch and Swinnerton-Dyer." Invent. Math. 84:1 (1986), 1–48.
  • L. Merel. "Bornes pour la torsion des courbes elliptiques sur les corps de nombres." Invent. Math. 124 (1996), 437–449.
  • David E. Rohrlich. "The Vanishing of Certain Rankin–Selberg Convolutions." In Automorphic Forms and Analytic Number Theory (Montreal, PQ, 1989), pp. 123– 133. Montreal: Univ. Montréal, 1990.
  • J. Silverman. The Arithmetic of Elliptic Curves, Graduate Texts in Mathematics 106. New York: Springer, 1986.
  • Richard Taylor and Andrew Wiles. "Ring-Theoretic Properties of Certain Hecke Algebras." Ann. of Math. (2) 141:3 (1995), 553–572.
  • L. Washington Introduction to Cyclotomic Fields, Graduate Texts in Mathematics 83. New York: Springer, 1982.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.