Book Review
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MathSciNet review:
1567944
Full text of review:
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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 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, Annals of Mathematics Studies, No. 83, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1975. 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 $\textrm {GL}(2)$. 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 $\textrm {GL}(2)$, 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, Kanô Memorial Lectures, No. 1, Iwanami Shoten Publishers, Tokyo; Princeton University Press, Princeton, N.J., 1971. Publications of the Mathematical Society of Japan, No. 11. MR 0314766
Richard Taylor, On Galois representations associated to Hilbert modular forms, Invent. Math. 98 (1989), no. 2, 265–280. MR 1016264, DOI 10.1007/BF01388853
- [BR] D. Blasius and J. Rogawski, Galois representations for Hilbert modular forms, Bull. Amer. Math. Soc. (N. S. ) 21 (1989), 65-70. MR 0983457
- [G] P. Garrett, Pullbacks of Eisenstein series: Applications, Automorphic Forms of Several Complex Variables, Birkhaüser-Verlag, Boston, 1984. MR 763012
- [Ge] S. Gelbart, Automorphic forms on Adéle groups, Princeton Univ. Press, Princeton, NJ, 1975. MR 379375
- [GGP] I. M. Gelfand, M. I. Graev, and I. I. Piatetski-Shapiro, Representation theory and automorphic functions, W. B. Saunders Co., Philadelphia, 1969. MR 233772
- [J] H. Jacquet, Automorphic forms on GL(2). II, Lecture Notes in Math., vol. 278, Springer-Verlag, Berlin and New York, 1972. MR 562503
- [JL] H. Jacquet and R. P. Langlands, Automorphic forms on GL(2), Lecture Notes in Math., vol. 114, Springer-Verlag, Berlin and New York, 1970. MR 401654
- [Sa] I. Satake, Spherical functions and Ramanujan conjecture, Algebraic Groups and Discontinuous Subgroups, Proc. Sympos. Pure Math., vol. 9, Amer. Math. Soc., Providence, RI, 1966. MR 211955
- [Sh] G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten, Japan and Princeton Univ. Press, Princeton, NJ, 1971. MR 314766
- [T] R. Taylor, On Galois representations associated to Hilbert modular forms, Invent. Math. (1989). MR 1016264
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
