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Bibliography
Atkin, A. O. L., Lehner, J.: Hecke operators on Γo(m), Math. Ann., 185 (1970), 134–160.
Casselman, W.: On some results of Atkin and Lehner, Math. Ann., 201 (1973), 301–314.
Deligne, P.: Formes modulaires et représentations l-adiques, Séminaire Bourbaki, 355, Février, 1969. Lecture Notes in Mathematics, 179, Springer, Berlin-Heidelberg-New York, 1971.
Deligne, P.: La conjecture de Weil I, Publ. Math. I.H.E.S., 43 (1974), 273–307.
Deligne, P., Serre, J-P.: Formes modulaires de poids 1, Ann. Scient. Ec. Norm. Sup., 4e série, 7 (1974), 507–530.
Doi, K., Yamauchi, M.: On the Hecke operators for Γo(N) and class fields over quadratic number fields, J. Math. Soc. Japan, 25 (1973), 629–643.
Hecke, E.: Mathematische Werke, Vandenhoeck und Ruprecht, Göttingen, 1959.
Katz, N.: Course at Princeton University, 1974–1975.
Koike, M.: Congruences between cusp forms and linear representations of the Galois group (to appear).
Koike, M.: On certain abelian varieties obtained from new forms of weight 2 on Γo(34) and Γo(35), Nagoya Math. J., 62 (1976), 29–39.
Li, W.-C.: Newforms and functional equations, Math. Ann., 212 (1975), 285–315.
Miyake, T.: On automorphic forms on GL2 and Hecke operators, Ann. of Math., 94 (1971), 174–189.
Rankin, R. A.: Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions I, II, Proc. Camb. Phil. Soc., 35 (1939), 351–372.
Ribet, K. A.: On l-adic representations attached to modular forms, Inventiones Math., 28 (1975), 245–275.
Ribet, K. A.: Galois action on division points of abelian varieties with many real multiplications, Am. J. Math., 98 (1976), 751–804.
Schur, I.: Arithmetische Untersuchungen über endliche Gruppen linearer Substitutionen, Gesam. Abhl. I, 177–197. Springer, Berlin-Heidelberg-New York, 1973.
Selberg, A.: On the estimation of Fourier coefficients of modular forms, Proc. Sym. Pure Math. VIII, AMS, Providence, 1965.
Serre, J-P.: Une interprétation des congruences relatives à la fonction τ de Ramanujan, Séminaire Delange-Pisot-Poitou, 1967–1968, ex. 14.
Serre, J-P.: Abelian l-adic Representations and Elliptic Curves, Benjamin, New York, 1968.
Serre, J-P.: Congruences et formes modulaires (d'après H.P.F. Swinnerton-Dyer), Séminaire Bourbaki, 416, Juin, 1972. Lecture Notes in Mathematics, 317, Springer, Berlin-Heidelberg-New York, 1973.
Serre, J-P.: Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Inventiones Math., 15 (1972), 259–331.
Serre, J-P.: Lectures on modular forms of weight 1, Proceedings of the 1975 Durham Conference on Number Theory (to appear).
Serre, J-P., Tate, J.: Good reduction of abelian varieties, Ann. of Math., 88 (1968), 492–517.
Shimura, G.: Introduction to the Arithmetic Theory of Automorphic Functions, Publ. Math. Soc. Japan, No. 11, Tokyo-Princeton, 1971.
Shimura, G.: On elliptic curves with complex multiplication as factors of the Jacobians of modular function fields, Nagoya Math. J., 43 (1971), 199–208.
Shimura, G.: Class fields over real quadratic fields and Hecke operators, Ann. of Math., 95 (1972), 130–190.
Shimura, G.: On the factors of the Jacobian variety of a modular function field, J. Math. Soc. Japan, 25 (1973), 523–544.
Swinnerton-Dyer, H.P.F.: On l-adic representations and congruences for coefficients of modular forms, International Summer School on Modular Functions, Antwerp, 1972. Lecture Notes in Mathematics, 350, Springer, Berlin-Heidelberg-New York, 1973.
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Ribet, K.A. (1977). Galois representations attached to eigenforms with nebentypus. In: Serre, JP., Zagier, D.B. (eds) Modular Functions of one Variable V. Lecture Notes in Mathematics, vol 601. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063943
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DOI: https://doi.org/10.1007/BFb0063943
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