Book Review
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MathSciNet review: 1567944
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Book Information:
Author: Paul B. Garrett
Title: Holomorphic Hilbert modular forms
Additional book information: Wadsworth & Brooks/Cole, 1990, 304 pp., ISBN 0-534-10344-8.
- D. Blasius and J. Rogawski, Galois representations for Hilbert modular forms, Bull. Amer. Math. Soc. (N.S.) 21 (1989), no. 1, 65–69. MR 983457, DOI https://doi.org/10.1090/S0273-0979-1989-15763-7
- Paul B. Garrett, Pullbacks of Eisenstein series; applications, Automorphic forms of several variables (Katata, 1983) Progr. Math., vol. 46, Birkhäuser Boston, Boston, MA, 1984, pp. 114–137. MR 763012
- Stephen S. Gelbart, Automorphic forms on adèle groups, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1975. Annals of Mathematics Studies, No. 83. MR 0379375
- I. M. Gel′fand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Representation theory and automorphic functions, W. B. Saunders Co., Philadelphia, Pa.-London-Toronto, Ont., 1969. Translated from the Russian by K. A. Hirsch. MR 0233772
- Hervé Jacquet, Automorphic forms on ${\rm GL}(2)$. Part II, Lecture Notes in Mathematics, Vol. 278, Springer-Verlag, Berlin-New York, 1972. MR 0562503
- H. Jacquet and R. P. Langlands, Automorphic forms on ${\rm GL}(2)$, Lecture Notes in Mathematics, Vol. 114, Springer-Verlag, Berlin-New York, 1970. MR 0401654
- Ichirô Satake, Spherical functions and Ramanujan conjecture, Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math.,Boulder, Colo., 1965) Amer. Math. Soc., Providence, R.I., 1966, pp. 258–264. MR 0211955
- Goro Shimura, Introduction to the arithmetic theory of automorphic functions, Publications of the Mathematical Society of Japan, No. 11. Iwanami Shoten, Publishers, Tokyo; Princeton University Press, Princeton, N.J., 1971. Kanô Memorial Lectures, No. 1. MR 0314766
- Richard Taylor, On Galois representations associated to Hilbert modular forms, Invent. Math. 98 (1989), no. 2, 265–280. MR 1016264, DOI https://doi.org/10.1007/BF01388853
Review Information:
Reviewer: Michael Harris
Journal: Bull. Amer. Math. Soc. 25 (1991), 184-195
DOI: https://doi.org/10.1090/S0273-0979-1991-16061-1
