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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
-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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