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Book Review

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Book Information

Author: A. Borel
Title: Automorphic forms on $SL_{2}(\mathbf{R})$
Additional book information Cambridge Tracts in Mathematics, vol. 130, Cambridge University Press, 1997, xiv+574 pp., $47.95, ISBN 0-521-58049-8.

Author: D. Bump
Title: Automorphic forms and representations
Additional book information Cambridge Studies in Advanced Mathematics, vol. 55, Cambridge University Press, 1997, xiv+574 pp., $79.95, ISBN 0-521-55098-X.

Author: H. Iwaniec
Title: Topics in classical automorphic forms
Additional book information Graduate Studies in Math., vol. 17, American Mathematical Society, Providence, RI, 1997, xii + 259 pp., $39.00, ISBN 0-8218-0777-3.

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[Bu] Daniel Bump, Automorphic forms and representations, Cambridge Studies in Advanced Mathematics, vol. 55, Cambridge University Press, Cambridge, 1997. MR 1431508 (97k:11080)
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[Du] William Duke, Some old problems and new results about quadratic forms, Notices Amer. Math. Soc. 44 (1997), no. 2, 190–196. MR 1426107 (97i:11035)
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[GGPS] I. M. Gel′fand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Representation theory and automorphic functions, Translated from the Russian by K. A. Hirsch, W. B. Saunders Co., Philadelphia, Pa., 1969. MR 0233772 (38 #2093)
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[Hi] Haruzo Hida, Elementary theory of 𝐿-functions and Eisenstein series, London Mathematical Society Student Texts, vol. 26, Cambridge University Press, Cambridge, 1993. MR 1216135 (94j:11044)
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[I2] Henryk Iwaniec, Introduction to the spectral theory of automorphic forms, Biblioteca de la Revista Matemática Iberoamericana. [Library of the Revista Matemática Iberoamericana], Revista Matemática Iberoamericana, Madrid, 1995. MR 1325466 (96f:11078)
[I3] Henryk Iwaniec, Fourier coefficients of modular forms of half-integral weight, Invent. Math. 87 (1987), no. 2, 385–401. MR 870736 (88b:11024), http://dx.doi.org/10.1007/BF01389423
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[Ko] Robert E. Kottwitz, Stable trace formula: elliptic singular terms, Math. Ann. 275 (1986), no. 3, 365–399. MR 858284 (88d:22027), http://dx.doi.org/10.1007/BF01458611
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[L3] R. Langlands, Where stands functoriality today?, In [BK], 457-471. CMP 98:03
[L4] Robert P. Langlands, Representation theory: its rise and its role in number theory, Proceedings of the Gibbs Symposium (New Haven, CT, 1989) Amer. Math. Soc., Providence, RI, 1990, pp. 181–210. MR 1095333 (92d:11053)
[LR] Robert P. Langlands and Dinakar Ramakrishnan (eds.), The zeta functions of Picard modular surfaces, Université de Montréal Centre de Recherches Mathématiques, Montreal, QC, 1992. MR 1155223 (92m:14001)
[LS] R. P. Langlands and D. Shelstad, On the definition of transfer factors, Math. Ann. 278 (1987), no. 1-4, 219–271. MR 909227 (89c:11172), http://dx.doi.org/10.1007/BF01458070
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Gérard Laumon, Cohomology of Drinfeld modular varieties. Part II, Cambridge Studies in Advanced Mathematics, vol. 56, Cambridge University Press, Cambridge, 1997. Automorphic forms, trace formulas and Langlands correspondence; With an appendix by Jean-Loup Waldspurger. MR 1439250 (98c:11045b)
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Review Information

Reviewer: Jonathan D. Rogawski
Affiliation: University of California, Los Angeles
Email: jonr@math.ucla.edu
Journal: Bull. Amer. Math. Soc. 35 (1998), 253-263
DOI: http://dx.doi.org/10.1090/S0273-0979-98-00756-3
PII: S 0273-0979(98)00756-3
Review copyright: © Copyright 1998 American Mathematical Society

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