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ISSN 1088-9485(e) ISSN 0273-0979(p)

Book Review

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Book Information

Author(s): Roelof W. Bruggeman
Title: Families of automorphic forms
Additional book information: Monographs Math., vol. 88, Birkhäuser, Basel and Boston, MA, 1994, x + 317 pp., $99.00, ISBN 3-7643-5046-6

References:

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2: Y. Colin de Verdière, Pseudo-Laplacians II, Ann. Inst. Fourier (Grenoble) 33 (1983), 87--113. MR 84k:58222
3: P. Garrett, Review of Harmonic analysis on symmetric spaces and applications, Vols. I, II, Bull. Amer. Math. Soc. (N.S.) 22 (1990), 219--229.
4: D. Grenier, Factoring L-functions as products of L-functions, Trans. Amer. Math. Soc. 345 (1994), 673--692. CMP 94:16
5: M. C. Gutzwiller, Chaos in classical and quantum mechanics, Springer-Verlag, NY, 1990. MR 91m:58099
6: D. Hejhal, A continuity method for spectral theory on Fuchsian groups, Modular Forms
(R. A. Rankin, ed.), Ellis Horwood, 1984. MR 87g:11063
7: D. Hejhal and B. Rackner, On the topography of Maass waveforms for $\operatorname{PSL}(2,\mathbf{Z})$ , Experimental Math. 1 (1992), 275--305. MR 95f:11037
8: S. Iyanaga and Y. Kawada (eds.), Encyclopedic dictionary of mathematics, M.I.T. Press, Cambridge, MA, 1980. MR 84a:00015
9: S. Katok, Fuchsian groups, Univ. of Chicago Press, Chicago, IL, 1992. MR 93d:20088
10: S. Lang, Introduction to modular forms, Springer-Verlag, Berlin and New York, 1976. MR 55:2751
11: R. P. Langlands, Review of The theory of Eisenstein systems, Bull. Amer. Math. Soc. (N.S.) 9 (1983), 351--361.
12: A. Lubotzky, Discrete groups, expanding graphs, and invariant measures, Birkhäuser, Basel and Boston, MA, 1994. CMP 95:05
13: H. Maass, Modular functions of one complex variable, Tata Inst., Bombay; revised edition, Springer-Verlag, 1983. MR 85g:11034
14: R. Phillips and P. Sarnak, The Weyl theorem and the deformation of discrete groups, Comm. Pure and Appl. Math. 38 (1985), 853--866. MR 87f:11035
15: P. Sarnak, Arithmetic quantum chaos, The Schur Lectures (I. Piatetski-Shapiro and S. Gelbart, eds.), Israel Math. Conf. Proc., Vol. 8, Bar-Ilan University, Israel, 1995, pp. 183--236.
16: ------, Some applications of modular forms, Cambridge Univ. Press, Cambridge, 1990. MR 92k:11045
17: A. Selberg, Collected papers, Vol. I, Springer-Verlag, NY, 1989. MR 92h:01083
18: A. Terras, Harmonic analysis on symmetric spaces and applications, Vols. I, II, Springer-Verlag, NY, 1985, 1988. MR 87f:22010
19: ------, Review of Introduction to modular forms, Bull. Amer. Math. Soc. (N.S.) 2 (1980), 206--214.
20: D. I. Wallace, The Selberg trace formula for $\operatorname{SL}(3,\mathbb{Z})\backslash\operatorname{SL} (3,\mathbb{R})/\operatorname{SO} (3,\mathbb{R})$ , Trans. Amer. Math. Soc. (N.S.) 345 (1994), 1--36. MR 95a:11049
21: H. Rademacher and E. Grosswald, Dedekind sums, Math. Assoc. Amer., Washington, DC, 1972. MR 50:9767

Additional Information:

Reviewer(s):
Audrey A. Terras
Affiliation: University of California San Diego
Email: aterras@ucsd.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 33 (1996), 77-80.
DOI: 10.1090/S0273-0979-96-00626-X
PII: S 0273-0979(96)00626-X
Copyright of article: Copyright 1996, American Mathematical Society

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