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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Galois representations for Hilbert modular forms
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by D. Blasius and J. Rogawski PDF
Bull. Amer. Math. Soc. 21 (1989), 65-69
References
    [B] D. Blasius, Galois representations and automorphic forms, Proc. Conf. on Automorphic Forms, Shimura Varieties, and L-Functions (L. Clozel and J.Milne, eds.), Ann Arbor, 1988.
  • Don Blasius and Dinakar Ramakrishnan, Maass forms and Galois representations, Galois groups over $\textbf {Q}$ (Berkeley, CA, 1987) Math. Sci. Res. Inst. Publ., vol. 16, Springer, New York, 1989, pp. 33–77. MR 1012167, DOI 10.1007/978-1-4613-9649-9_{2}
  • [BRo] D. Blasius and J. Rogawski, Tate cycles and quotients of the two-ball, to appear in [M].
  • Henri Carayol, Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert, Ann. Sci. École Norm. Sup. (4) 19 (1986), no. 3, 409–468 (French). MR 870690, DOI 10.24033/asens.1512
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  • Gerd Faltings, $p$-adic Hodge theory, J. Amer. Math. Soc. 1 (1988), no. 1, 255–299. MR 924705, DOI 10.1090/S0894-0347-1988-0924705-1
  • [M] Proceedings of a Conference on Shimura Varieties, Centre de recherches mathématiques, Université de Montréal, 1988 (in preparation).
  • Masami Ohta, On the zeta function of an abelian scheme over the Shimura curve, Japan. J. Math. (N.S.) 9 (1983), no. 1, 1–25. MR 722534, DOI 10.4099/math1924.9.1
  • Jonathan D. Rogawski, Automorphic representations of unitary groups in three variables, Annals of Mathematics Studies, vol. 123, Princeton University Press, Princeton, NJ, 1990. MR 1081540, DOI 10.1515/9781400882441
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  • Richard Taylor, On Galois representations associated to Hilbert modular forms. II, Elliptic curves, modular forms, & Fermat’s last theorem (Hong Kong, 1993) Ser. Number Theory, I, Int. Press, Cambridge, MA, 1995, pp. 185–191. MR 1363502
  • [W] A. Wiles, On ordinary λ-adic representations associated to modular forms, Preprint.
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 21 (1989), 65-69
  • MSC (1985): Primary 12A70
  • DOI: https://doi.org/10.1090/S0273-0979-1989-15763-7
  • MathSciNet review: 983457