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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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Book Review

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Book Information:

Author: Goro Shimura
Title: Arithmeticity in the theory of automorphic forms
Additional book information: Mathematical Surveys and Monographs, vol. 82, American Mathematical Society, Providence, RI, x+302 pp., ISBN 0-8218-2671-9, $69.00$

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

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A. Hurwitz, Über die Entwicklungskoefficienten der lemniskatischen Fuktionen, Math. Ann. 51 (1899), 196-226. (=Werke, Band II, LXVII)
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A. W. Knapp, Representation theory of semisimple groups, Princeton Mathematical Series 36, Princeton University Press, 1986. MR 0855239
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R. P. Langlands, On the functional equation satisfied by Eisenstein series, Lecture notes in Math. 544, Springer, 1976. MR 0579181
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Y. I. Manin, Periods of parabolic forms and $p$-adic Hecke series, Math. USSR Sbornik, 21 (1973), 371-393.
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G. Shimura, Sur les intégrales attachées aux formes automorphes, J. Math. Soc. Japan, 11 (1959), 291-311. MR 0120372
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G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten and Princeton University Press, 1971. MR 0314766
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G. Shimura, On the holomorphy of certain Dirichlet series, Proc. London Math. Soc. (3) 31 (1975), 79-98. MR 0382176
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G. Shimura, The special values of the zeta functions associated with cusp forms, Comm. Pure and Applied Math. 29 (1976), 783-804. MR 0434962
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G. Shimura, Confluent hypergeometric functions on tube domains, Math. Ann. 260 (1982), 269-302. MR 0669297
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G. Shimura, Euler products and Eisenstein series, CBMS Regional Conference Series in Mathematics, Number 93, 1997, American Mathematical Society. MR 1450866
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J. Sturm, The critical values of zeta functions associated to the symplectic group, Duke Math. J. 48(1981), 327-350. MR 0620253
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Review Information:

Reviewer: Hiroyuki Yoshida
Affiliation: Kyoto University
Email: yoshida@kusm.kyoto-u.ac.jp
Journal: Bull. Amer. Math. Soc. 39 (2002), 441-448
Published electronically: April 15, 2002
Review copyright: © Copyright 2002 American Mathematical Society