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The critical values of certain Dirichlet series attached to Hilbert modular forms
Goro Shimura
Source: Duke Math. J. Volume 63, Number 3
(1991), 557-613.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077296070
Mathematical Reviews number (MathSciNet): MR1121146
Zentralblatt MATH identifier: 0752.11021
Digital Object Identifier: doi:10.1215/S0012-7094-91-06324-6
References
[1] J. Im, Special values of Dirichlet series attached to Hilbert modular forms, to appear in Amer.J.Math.
Mathematical Reviews (MathSciNet): MR1137532
Zentralblatt MATH: 0756.11014
Digital Object Identifier: doi:10.2307/2374898
JSTOR: links.jstor.org
[2] D. E. Rohrlich, Nonvanishing of $L$-functions for $\rm GL(2)$, Invent. Math. 97 (1989), no. 2, 381–403.
Mathematical Reviews (MathSciNet): MR90g:11062
Zentralblatt MATH: 0677.10020
Digital Object Identifier: doi:10.1007/BF01389047
[3] G. Shimura, On the holomorphy of certain Dirichlet series, Proc. London Math. Soc. (3) 31 (1975), no. 1, 79–98.
Mathematical Reviews (MathSciNet): MR52:3064
Zentralblatt MATH: 0311.10029
Digital Object Identifier: doi:10.1112/plms/s3-31.1.79
[4] G. Shimura, The special values of the zeta functions associated with cusp forms, Comm. Pure Appl. Math. 29 (1976), no. 6, 783–804.
Mathematical Reviews (MathSciNet): MR55:7925
Zentralblatt MATH: 0348.10015
Digital Object Identifier: doi:10.1002/cpa.3160290618
[5] G. Shimura, On the periods of modular forms, Math. Ann. 229 (1977), no. 3, 211–221.
Mathematical Reviews (MathSciNet): MR57:3080
Zentralblatt MATH: 0363.10019
Digital Object Identifier: doi:10.1007/BF01391466
[6] G. Shimura, The special values of the zeta functions associated with Hilbert modular forms, Duke Math. J. 45 (1978), no. 3, 637–679.
Mathematical Reviews (MathSciNet): MR80a:10043
Zentralblatt MATH: 0394.10015
Digital Object Identifier: doi:10.1215/S0012-7094-78-04529-5
Project Euclid: euclid.dmj/1077312955
[7] G. Shimura, The arithmetic of certain zeta functions and automorphic forms on orthogonal groups, Ann. of Math. (2) 111 (1980), no. 2, 313–375.
Mathematical Reviews (MathSciNet): MR81g:10041
Zentralblatt MATH: 0438.12003
Digital Object Identifier: doi:10.2307/1971202
JSTOR: links.jstor.org
[8] G. Shimura, The critical values of certain zeta functions associated with modular forms of half-integral weight, J. Math. Soc. Japan 33 (1981), no. 4, 649–672.
Mathematical Reviews (MathSciNet): MR83b:10030
Zentralblatt MATH: 0494.10018
Digital Object Identifier: doi:10.2969/jmsj/03340649
Project Euclid: euclid.jmsj/1239802073
[9] G. Shimura, Algebraic relations between critical values of zeta functions and inner products, Amer. J. Math. 105 (1983), no. 1, 253–285.
Mathematical Reviews (MathSciNet): MR84j:10038
Zentralblatt MATH: 0518.10032
Digital Object Identifier: doi:10.2307/2374388
JSTOR: links.jstor.org
[10] G. 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
[11] G. Shimura, On Eisenstein series of half-integral weight, Duke Math. J. 52 (1985), no. 2, 281–314.
Mathematical Reviews (MathSciNet): MR87g:11053
Zentralblatt MATH: 0577.10025
Digital Object Identifier: doi:10.1215/S0012-7094-85-05216-0
Project Euclid: euclid.dmj/1077304434
[12] G. Shimura, On the Eisenstein series of Hilbert modular groups, Rev. Mat. Iberoamericana 1 (1985), no. 3, 1–42.
Mathematical Reviews (MathSciNet): MR87h:11038
Zentralblatt MATH: 0608.10028
[13] G. Shimura, On Hilbert modular forms of half-integral weight, Duke Math. J. 55 (1987), no. 4, 765–838.
Mathematical Reviews (MathSciNet): MR89a:11054
Zentralblatt MATH: 0636.10024
Digital Object Identifier: doi:10.1215/S0012-7094-87-05538-4
Project Euclid: euclid.dmj/1077306298
[14] G. Shimura, Nearly holomorphic functions on Hermitian symmetric spaces, Math. Ann. 278 (1987), no. 1-4, 1–28.
Mathematical Reviews (MathSciNet): MR89b:32044
Zentralblatt MATH: 0636.10023
Digital Object Identifier: doi:10.1007/BF01458058
[15] J. Sturm, Special values of zeta functions, and Eisenstein series of half integral weight, Amer. J. Math. 102 (1980), no. 2, 219–240.
Mathematical Reviews (MathSciNet): MR82b:10033a
Zentralblatt MATH: 0433.10015
Digital Object Identifier: doi:10.2307/2374237
JSTOR: links.jstor.org
[16] J. Sturm, Addendum to: “Special values of zeta functions, and Eisenstein series of half integral weight”, Amer. J. Math. 102 (1980), no. 4, 781–783.
Mathematical Reviews (MathSciNet): MR82b:10033b
Zentralblatt MATH: 0447.10027
Digital Object Identifier: doi:10.2307/2374096
[17] J. Sturm, Evaluation of the symmetric square at the near center point, Amer. J. Math. 111 (1989), no. 4, 585–598.
Mathematical Reviews (MathSciNet): MR90i:11056
Zentralblatt MATH: 0705.11027
Digital Object Identifier: doi:10.2307/2374814
JSTOR: links.jstor.org
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