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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

Author(s): 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, $69.00, 0-8218-2671-9


References:

1.
P. Garrett, Decomposition of Eisenstein series: Rankin triple products, Ann. of Math., 125 (1987), 209-235. MR 88m:11033

2.
A. Hurwitz, Über die Entwicklungskoefficienten der lemniskatischen Fuktionen, Math. Ann. 51 (1899), 196-226. (=Werke, Band II, LXVII)

3.
A. W. Knapp, Representation theory of semisimple groups, Princeton Mathematical Series 36, Princeton University Press, 1986. MR 87j:22022

4.
R. P. Langlands, On the functional equation satisfied by Eisenstein series, Lecture notes in Math. 544, Springer, 1976. MR 58:28319

5.
Y. I. Manin, Periods of parabolic forms and $p$-adic Hecke series, Math. USSR Sbornik, 21 (1973), 371-393.

6.
G. Shimura, Sur les intégrales attachées aux formes automorphes, J. Math. Soc. Japan, 11 (1959), 291-311. MR 22:11126

7.
G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten and Princeton University Press, 1971. MR 47:3318

8.
G. Shimura, On the holomorphy of certain Dirichlet series, Proc. London Math. Soc. (3) 31 (1975), 79-98. MR 52:3064

9.
G. Shimura, The special values of the zeta functions associated with cusp forms, Comm. Pure and Applied Math. 29 (1976), 783-804. MR 55:7925

10.
G. Shimura, Confluent hypergeometric functions on tube domains, Math. Ann. 260 (1982), 269-302. MR 84f:32040

11.
G. Shimura, Euler products and Eisenstein series, CBMS Regional Conference Series in Mathematics, Number 93, 1997, American Mathematical Society. MR 98h:11057

12.
J. Sturm, The critical values of zeta functions associated to the symplectic group, Duke Math. J. 48(1981), 327-350. MR 83c:10035

13.
A. Weil, Number theory, an approach through history, Birkhäuser, 1984. MR 85c:01004


Additional Information:

Reviewer(s):
Hiroyuki Yoshida
Affiliation: Kyoto University
Email: yoshida@kusm.kyoto-u.ac.jp

Review Information:
Journal: Bull. Amer. Math. Soc. 39 (2002), 441-448.

MSC (2000): Primary 11Fxx, 14K22, 14K25, 32Nxx, 32A99, 32W99
DOI: 10.1090/S0273-0979-02-00945-X
PII: S 0273-0979(02)00945-X
Posted: April 15, 2002
Copyright of article: Copyright 2002, American Mathematical Society


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