@article{CM_1996__100_3_311_0, author = {Rohrlich, David E.}, title = {Galois theory, elliptic curves, and root numbers}, journal = {Compositio Mathematica}, pages = {311--349}, publisher = {Kluwer Academic Publishers}, volume = {100}, number = {3}, year = {1996}, mrnumber = {1387669}, zbl = {0860.11033}, language = {en}, url = {http://archive.numdam.org/item/CM_1996__100_3_311_0/} }
Rohrlich, David E. Galois theory, elliptic curves, and root numbers. Compositio Mathematica, Volume 100 (1996) no. 3, pp. 311-349. http://archive.numdam.org/item/CM_1996__100_3_311_0/
1 Icosahedral Galois Representations, Lect. Notes in Math. 654, Springer-Verlag, 1978. | MR | Zbl
:2 Les constantes des équations fonctionelles des fonctions L, Modular Functions of One Variable, II, Lect. Notes in Math. 349, Springer-Verlag, 1973, pp. 501-595. | MR | Zbl
:3 Les constantes locales de l'équation fonctionelle de la fonction L d'Artin d'une représentation orthogonale, Invent. Math. 35 (1976) 299-316. | MR | Zbl
:4 On the functional equation for the Artin L-function for characters of real representations, Invent. Math. 20 (1973) 125-138. | MR | Zbl
and :5 Non-vanishing of certain values of L-functions, Analytic Number Theory and Diophantine Problems, Prog. in Math. 70, Birkhauser, Boston, 1987, pp. 223-235. | MR | Zbl
:6 Elliptic curves and local ε-factors, Compos. Math. 46 (1982) 307-352. | Numdam | Zbl
and :7 Polynomials with Galois group PSL(2, 7), Comm. in Algebra 8 (1980) 983-992. | MR | Zbl
:8 Root numbers of fibers of elliptic surfaces, Compos. Math. (to appear). | Numdam | MR | Zbl
:9 Konstruktive Galoistheorie, Lect. Notes in Math. 1284, Springer-Verlag, 1987. | MR | Zbl
:10 The vanishing of certain Rankin-Selberg convolutions, Automorphic Forms and Analytic Number Theory, Les publications CRM, Montreal, 1990, pp. 123-133. | MR | Zbl
:11 Variation of the root number on families of elliptic curves, Compos. Math. 87 (1993) 119-151. | Numdam | MR | Zbl
:12 Elliptic curves and the Weil-Deligne group, Elliptic Curves and Related Topics, CRM Proceedings & Lecture Notes Vol. 4, Amer Math. Soc., Providence, 1994, pp. 125-157. | MR | Zbl
:13 Conducteurs d'Artin des caractères réels, Invent. Math. 14 (1971) 173-183. | MR | Zbl
:14 Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math. 15 (1972), 259-331. | MR | Zbl
15 Local Fields, GTM vol 67, Springer-Verlag, 1979. | MR | Zbl
:16 Good reduction of abelian varieties, Ann. Math. 88 (1968) 492-517. | MR | Zbl
and :17 The Arithmetic of Elliptic Curves, GTM 106, Springer-Verlag, 1985. | MR | Zbl
:18 Number theoretic background, Automorphic Forms, Representations, and L -Functions, Proc. Symp. Pure Math. Vol. 33 - Part 2, Amer. Math. Soc., Providence, 1979. | MR | Zbl
:19 Adeles and Algebraic Groups, Notes by M. Demazure and T. Ono, Birkhauser-Boston, Boston, 1982. | MR | Zbl
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