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Book Review

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Full text of review: PDF
Book Information:

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

References [Enhancements On Off] (What's this?)

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  • 2 Yves Colin de Verdière, Pseudo-laplaciens. II, Ann. Inst. Fourier (Grenoble) 33 (1983), no. 2, 87–113 (French). MR 699488
  • 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 Martin C. Gutzwiller, Chaos in classical and quantum mechanics, Interdisciplinary Applied Mathematics, vol. 1, Springer-Verlag, New York, 1990. MR 1077246
  • 6 Dennis A. Hejhal, A continuity method for spectral theory on Fuchsian groups, Modular forms (Durham, 1983) Ellis Horwood Ser. Math. Appl.: Statist. Oper. Res., Horwood, Chichester, 1984, pp. 107–140. MR 803365
  • 7 Dennis A. Hejhal and Barry N. Rackner, On the topography of Maass waveforms for 𝑃𝑆𝐿(2,𝑍), Experiment. Math. 1 (1992), no. 4, 275–305. MR 1257286
  • 8 Shôkichi Iyanaga and Yukiyosi Kawada (eds.), Encyclopedic dictionary of mathematics, Translated from the second Japanese edition, MIT Press, Cambridge, Mass.-London, 1980. Translation reviewed by Kenneth O. May; With a foreword by Saunders Mac Lane. MR 591028
  • 9 Svetlana Katok, Fuchsian groups, Chicago Lectures in Mathematics, University of Chicago Press, Chicago, IL, 1992. MR 1177168
  • 10 Serge Lang, Introduction to modular forms, Springer-Verlag, Berlin-New York, 1976. Grundlehren der mathematischen Wissenschaften, No. 222. MR 0429740
  • 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, Lectures on modular functions of one complex variable, 2nd ed., Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol. 29, Tata Institute of Fundamental Research, Bombay, 1983. With notes by Sunder Lal. MR 734485
  • 14 R. S. Phillips and P. Sarnak, The Weyl theorem and the deformation of discrete groups, Comm. Pure Appl. Math. 38 (1985), no. 6, 853–866. MR 812352, 10.1002/cpa.3160380614
  • 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 Peter Sarnak, Some applications of modular forms, Cambridge Tracts in Mathematics, vol. 99, Cambridge University Press, Cambridge, 1990. MR 1102679
  • 17 Atle Selberg, Collected papers. Vol. I, Springer-Verlag, Berlin, 1989. With a foreword by K. Chandrasekharan. MR 1117906
  • 18 Audrey Terras, Harmonic analysis on symmetric spaces and applications. I, Springer-Verlag, New York, 1985. MR 791406
  • 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 𝑆𝐿(3,𝑍)\𝑆𝐿(3,𝑅)/𝑆𝑂(3,𝑅), Trans. Amer. Math. Soc. 345 (1994), no. 1, 1–36. MR 1184117, 10.1090/S0002-9947-1994-1184117-4
  • 21 Hans Rademacher and Emil Grosswald, Dedekind sums, The Mathematical Association of America, Washington, D.C., 1972. The Carus Mathematical Monographs, No. 16. MR 0357299

Review Information:

Reviewer: Audrey A. Terras
Affiliation: University of California San Diego
Email: aterras@ucsd.edu
Journal: Bull. Amer. Math. Soc. 33 (1996), 77-80
DOI: https://doi.org/10.1090/S0273-0979-96-00626-X
Review copyright: © Copyright 1996 American Mathematical Society