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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,
$69.00$
1. P. Garrett, Decomposition of Eisenstein series: Rankin triple products, Ann. of Math., 125 (1987), 209-235. MR 0881269
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 0855239
4. R. P. Langlands, On the functional equation satisfied by Eisenstein series, Lecture notes in Math. 544, Springer, 1976. MR 0579181
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 0120372
7. G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten and Princeton University Press, 1971. MR 0314766
8. G. Shimura, On the holomorphy of certain Dirichlet series, Proc. London Math. Soc. (3) 31 (1975), 79-98. MR 0382176
9. G. Shimura, The special values of the zeta functions associated with cusp forms, Comm. Pure and Applied Math. 29 (1976), 783-804. MR 0434962
10. G. Shimura, Confluent hypergeometric functions on tube domains, Math. Ann. 260 (1982), 269-302. MR 0669297
11. G. Shimura, Euler products and Eisenstein series, CBMS Regional Conference Series in Mathematics, Number 93, 1997, American Mathematical Society. MR 1450866
12. J. Sturm, The critical values of zeta functions associated to the symplectic group, Duke Math. J. 48(1981), 327-350. MR 0620253
13. A. Weil, Number theory, an approach through history, Birkhäuser, 1984. MR 0734177
- 1.
- P. Garrett, Decomposition of Eisenstein series: Rankin triple products, Ann. of Math., 125 (1987), 209-235. MR 0881269
- 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 0855239
- 4.
- R. P. Langlands, On the functional equation satisfied by Eisenstein series, Lecture notes in Math. 544, Springer, 1976. MR 0579181
- 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 0120372
- 7.
- G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten and Princeton University Press, 1971. MR 0314766
- 8.
- G. Shimura, On the holomorphy of certain Dirichlet series, Proc. London Math. Soc. (3) 31 (1975), 79-98. MR 0382176
- 9.
- G. Shimura, The special values of the zeta functions associated with cusp forms, Comm. Pure and Applied Math. 29 (1976), 783-804. MR 0434962
- 10.
- G. Shimura, Confluent hypergeometric functions on tube domains, Math. Ann. 260 (1982), 269-302. MR 0669297
- 11.
- G. Shimura, Euler products and Eisenstein series, CBMS Regional Conference Series in Mathematics, Number 93, 1997, American Mathematical Society. MR 1450866
- 12.
- J. Sturm, The critical values of zeta functions associated to the symplectic group, Duke Math. J. 48(1981), 327-350. MR 0620253
- 13.
- A. Weil, Number theory, an approach through history, Birkhäuser, 1984. MR 0734177
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