New York, 1990, pp. 397â€“419.\n\n, Kolyvaginâ€™s system of Gauss sums, Arithmetic Algebraic Geometry (G. van der Geer, F. Oort, and J. Steenbrink, eds.), Progr. Math., vol. 89, BirkhÂ¨auser, Boston, 1991, pp. 309â€“324.\n\n[30]\n\n, The â€œmain conjecturesâ€� of Iwasawa theory for imaginary quadratic ï¬�elds, Invent.\n\n[31]\n\nMath. 103 (1991), 25â€“68.\n\n[32] J.-P. Serre, Sur les reprÂ´esentations modulaires de degrÂ´e 2 de Gal( Â¯Q/Q), Duke Math. J. 54\n\n(1987), 179â€“230.\n\n[33] G. Shimura, Correspondances modulaires et les fonctions Î¶ de courbes algÂ´ebriques, J. Math.\n\nSoc. Japan 10 (1958), 1â€“28.\n\n, Construction of class ï¬�elds and zeta functions of algebraic curves, Ann. of Math.\n\n[34]\n\n85 (1967), 58â€“159.\n\n, Introduction to the arithmetic theory of automorphic functions, Princeton Univ.\n\n[35]\n\nPress, Princeton, NJ, 1971.\n\n, On elliptic curves with complex multiplication as factors of the Jacobians of modular\n\n[36]\n\nfunction ï¬�elds, Nagoya Math. J. 43 (1971), 199â€“208.\n\n, On the factors of the jacobian variety of a modular function ï¬�eld, J. Math. Soc.\n\n[37]\n\nJapan 25 (1973), 523â€“544.\n\n, Yutaka Taniyama and his time. Very personal recollections, Bull. London Math.\n\n[38]\n\nSoc. 21 (1989), 186â€“196.\n\n[39] J. Silverman, The arithmetic of elliptic curves, Graduate Texts in Math., vol. 106, Springer-\n\nVerlag, New York, 1986.\n\n[40] F. Thaine, On the ideal class groups of real abelian number ï¬�elds, Ann. of Math. (2) 128\n\n(1988), 1â€“18.\n\n[41] J. Tunnell, Artinâ€™s conjecture for representations of octahedral type, Bull. Amer. Math. Soc.\n\n(N.S.) 5 (1981), 173â€“175.\n\n[42] A. Weil, Â¨Uber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen, Math.\n\nAnn. 168 (1967), 149â€“156.\n\nDepartment of Mathematics, Ohio State University, Columbus, Ohio 43210 E-mail address: rubin@math.ohio-state.edu\n\nDepartment of Mathematics, Ohio State University, Columbus, Ohio 43210 E-mail address:
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Dropbox is a file hosting service that brings everything-traditional files, cloud content, and web shortcuts together in one place. ->: New York, 1990, pp. 397â€“419.\n\n, Kolyvaginâ€™s system of Gauss sums, Arithmetic Algebraic Geometry (G. van der Geer, F. Oort, and J. Steenbrink, eds.), Progr. Math., vol. 89, BirkhÂ¨auser, Boston, 1991, pp. 309â€“324.\n\n[30]\n\n, The â€œmain conjecturesâ€� of Iwasawa theory for imaginary quadratic ï¬�elds, Invent.\n\n[31]\n\nMath. 103 (1991), 25â€“68.\n\n[32] J.-P. Serre, Sur les reprÂ´esentations modulaires de degrÂ´e 2 de Gal( Â¯Q/Q), Duke Math. J. 54\n\n(1987), 179â€“230.\n\n[33] G. Shimura, Correspondances modulaires et les fonctions Î¶ de courbes algÂ´ebriques, J. Math.\n\nSoc. Japan 10 (1958), 1â€“28.\n\n, Construction of class ï¬�elds and zeta functions of algebraic curves, Ann. of Math.\n\n[34]\n\n85 (1967), 58â€“159.\n\n, Introduction to the arithmetic theory of automorphic functions, Princeton Univ.\n\n[35]\n\nPress, Princeton, NJ, 1971.\n\n, On elliptic curves with complex multiplication as factors of the Jacobians of modular\n\n[36]\n\nfunction ï¬�elds, Nagoya Math. J. 43 (1971), 199â€“208.\n\n, On the factors of the jacobian variety of a modular function ï¬�eld, J. Math. Soc.\n\n[37]\n\nJapan 25 (1973), 523â€“544.\n\n, Yutaka Taniyama and his time. Very personal recollections, Bull. London Math.\n\n[38]\n\nSoc. 21 (1989), 186â€“196.\n\n[39] J. Silverman, The arithmetic of elliptic curves, Graduate Texts in Math., vol. 106, Springer-\n\nVerlag, New York, 1986.\n\n[40] F. Thaine, On the ideal class groups of real abelian number ï¬�elds, Ann. of Math. (2) 128\n\n(1988), 1â€“18.\n\n[41] J. Tunnell, Artinâ€™s conjecture for representations of octahedral type, Bull. Amer. Math. Soc.\n\n(N.S.) 5 (1981), 173â€“175.\n\n[42] A. Weil, Â¨Uber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen, Math.\n\nAnn. 168 (1967), 149â€“156.\n\nDepartment of Mathematics, Ohio State University, Columbus, Ohio 43210 E-mail address: rubin@math.ohio-state.edu\n\nDepartment of Mathematics, Ohio State University, Columbus, Ohio 43210 E-mail address: