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An exact mass formula for orthogonal groups
Goro Shimura
Source: Duke Math. J. Volume 97, Number 1
(1999), 1-66.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077228500
Mathematical Reviews number (MathSciNet): MR1681092
Digital Object Identifier: doi:10.1215/S0012-7094-99-09701-6
Zentralblatt MATH identifier: 01425198
References
[E1] Martin Eichler, Die Ähnlichkeitsklassen indefiniter Gitter, Math. Z. 55 (1952), 216–252.
Mathematical Reviews (MathSciNet): MR14,540c
Zentralblatt MATH: 0049.31201
Digital Object Identifier: doi:10.1007/BF01268656
[E2] Martin Eichler, Quadratische Formen und orthogonale Gruppen, Springer-Verlag, Berlin, 1974, 2d ed., Grundlehren Math. Wiss. 63.
Mathematical Reviews (MathSciNet): MR50:4484
Zentralblatt MATH: 0277.10017
[K] Martin Kneser, Klassenzahlen indefiniter quadratischer Formen in drei oder mehr Veränderlichen, Arch. Math. (Basel) 7 (1956), 323–332.
Mathematical Reviews (MathSciNet): MR18,562f
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[M] L. J. Mordell, The definite quadratic forms in eight variables with determinant unity, J. Math. Pures Appl. 17 (1938), no. 9, 41–46.
Zentralblatt MATH: 0018.29401
[S1] Goro Shimura, Confluent hypergeometric functions on tube domains, Math. Ann. 260 (1982), no. 3, 269–302.
Mathematical Reviews (MathSciNet): MR84f:32040
Zentralblatt MATH: 0502.10013
Digital Object Identifier: doi:10.1007/BF01461465
[S2] Goro Shimura, On Eisenstein series, Duke Math. J. 50 (1983), no. 2, 417–476.
Mathematical Reviews (MathSciNet): MR84k:10019
Zentralblatt MATH: 0519.10019
Digital Object Identifier: doi:10.1215/S0012-7094-83-05019-6
Project Euclid: euclid.dmj/1077303203
[S3] Goro Shimura, On the transformation formulas of theta series, Amer. J. Math. 115 (1993), no. 5, 1011–1052.
Mathematical Reviews (MathSciNet): MR94h:11045
Zentralblatt MATH: 0802.11016
Digital Object Identifier: doi:10.2307/2375064
JSTOR: links.jstor.org
[S4] Goro Shimura, Euler products and Fourier coefficients of automorphic forms on symplectic groups, Invent. Math. 116 (1994), no. 1-3, 531–576.
Mathematical Reviews (MathSciNet): MR96f:11065
Zentralblatt MATH: 0811.11033
Digital Object Identifier: doi:10.1007/BF01231572
[S5] Goro Shimura, Euler products and Eisenstein series, CBMS Regional Conference Series in Mathematics, vol. 93, Published for the Conference Board of the Mathematical Sciences, Washington, DC, 1997, Amer. Math. Soc., Providence.
Mathematical Reviews (MathSciNet): MR98h:11057
Zentralblatt MATH: 0906.11020
[S6] Goro Shimura, Zeta functions and Eisenstein series on classical groups, Proc. Nat. Acad. Sci. U.S.A. 94 (1997), no. 21, 11133–11137, in Elliptic Curves and Modular Forms (Washington, D.C., 1996).
Mathematical Reviews (MathSciNet): MR98k:11060
Zentralblatt MATH: 0912.11021
Digital Object Identifier: doi:10.1073/pnas.94.21.11133
JSTOR: links.jstor.org
[Si]1 Carl Ludwig Siegel, Gesammelte Abhandlungen. Bände I, II, III, Herausgegeben von K. Chandrasekharan und H. Maass, Springer-Verlag, Berlin, 1966.
Mathematical Reviews (MathSciNet): MR33:5441
Zentralblatt MATH: 0143.00101
[Si]2 Carl Ludwig Siegel, Gesammelte Abhandlungen. Band IV, Springer-Verlag, Berlin, 1979.
Mathematical Reviews (MathSciNet): MR80k:01066
Zentralblatt MATH: 0402.01011
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