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References
G. Anderson, The motivic interpretation of Jacobi sum Hecke characters; preprint.
G. Anderson, Cyclotomy and an extension of the Taniyama group, preprint.
Don Blasius, On the critical values of Hecke L-series; preprint.
R.M. Damerell, L-functions of elliptic curves with complex multiplication. I, Acta Arithm. 17 (1970), 287–301; II, Acta Arithmetica 19 (1971), 311–317.
P. Deligne, Valeurs de fonctions L et périodes d’intégrales; Proc. Symp. Pure Math. 33 (1979), part 2; 313–346.
P. Deligne (texte rédigé par J.L. Brylinski), Cycles de Hodge absolus et périodes des intégrales des variétés abéliennes; Soc. Math. France, Mémoire no2 (2ème sér.) 1980, p. 23–33.
P. Deligne, J. Milne, A. Ogus, K. Shih, Hodge Cycles, Motives and Shimura Varieties; Springer Lect. Notes Math. 900 (1982).
G. Eisenstein, Über die Irreductibilität und einige andere Eigenschaften der Gleichung, von welcher die Theilung der ganzen Lemniscate abhängt, — and the sequels to this paper-; Math. Werke II, 536–619.
C. Goldstein, N. Schappacher, Séries d’Eisenstein et fonctions L de courbes elliptiques à multiplication complexe; J.r. ang. Math. 327 (1981), 184–218.
C. Goldstein, N. Schappacher, Conjecture de Deligne et Γ-hypothèse de Lichtenbaum sur les corps quadratiques imaginaires. CRAS Paris, t. 296 (25 Avril 1983), Sér. I, 615–618.
B.H. Gross, On the periods of abelian integrals and a formula of Chowla and Selberg; Inventiones Math. 45 (1978), 193–211.
G. Harder, Eisenstein cohomology of arithmetic groups — The case GL2; preprint Bonn 1984.
A. Hurwitz, Über die Entwicklungskoeffizienten der lemniskatischen Funktionen; first communication in: Nachr. k. Ges. Wiss. Göttingen, Math. Phys. Kl. 1897, 273–276 = Math. Werke II, no LXVI, 338–341. Published in extenso: Math. Ann. 51 (1899), 196–226 = Math. Werke II, no LXVII, 342–373.
N. Katz, p-adic interpolation of real analytic Eisenstein series; Ann. Math. 104 (1976), 459–571.
N. Katz, p-adic L-functions for CM-fields; Inventiones math. 49 (1978); 199–297.
B. Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem; Ann. Math. 74 (1961), 329–387.
S. Lang, Complex Multiplication; Springer: Grundlehren 255, 1983.
R.P. Langlands, Automorphic Representations, Shimura Varieties, and Motives. Ein Märchen; Proc. Symp. Pure Math. 33 (1979), part 2; 205–246.
M. Lerch, Sur quelques formules relatives au nombre des classes; Bull. Sc. Mathém. (2) 21 (1897), prem. partie, 290–304.
N. Schappacher, Propriétés de rationalité de valeurs spéciales de fonctions L attachées aux corps CM; in: Séminaire de théorie de nombres, Paris 1981–82, Birkhäuser (PM 38), 1983; 267–282.
N. Schappacher, On the periods of Hecke characters; in preparation.
J-P. Serre, Abelian l-adic representations and elliptic curves; Benjamin 1968.
G. Shimura, On the zeta-function of an abelian variety with complex multiplication; Ann. Math. 94 (1971), 504–533.
G. Shimura, Automorphic forms and the periods of abelian varieties; J. Math. Soc. Japan 31 (1979), 561–592.
G. Shimura, On some arithmetic properties of modular forms of one and several variables; Ann. Math. 102 (1975), 491–515.
A. Weil, Oeuvres Scientifiques — Collected Papers, vol. III. Springer 1980.
A. Weil, Elliptic functions according to Eisenstein and Kronecker. Springer 1976.
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Harder, G., Schappacher, N. (1985). Special values of hecke L-functions and abelian integrals. In: Hirzebruch, F., Schwermer, J., Suter, S. (eds) Arbeitstagung Bonn 1984. Lecture Notes in Mathematics, vol 1111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084583
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DOI: https://doi.org/10.1007/BFb0084583
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