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Eisenstein group cocycles for GL n and values ofL-functions

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References

  • [Ar] Ash, A., Rudolph, L.: The modular symbol and continued fractions in higher dimensions. Invent. Math.55, 241–250 (1979)

    Google Scholar 

  • [AW] Atiyah, M.F., Wall, C.T.C.: Cohomology of groups. In: Cassels, J.W.S., Fröhlich, A. (eds.) Algebraic number theory, pp. 94–115 London: Academic Press 1967

    Google Scholar 

  • [Co] Colmez, P.: Algébricité de valeurs spéciales le fonctions L. Invent. Math.95, 161–205 (1989)

    Google Scholar 

  • [Eis] Eisenstein, G.: Genaue Untersuchung der unendlichen Doppelproducte, aus denen die elliptischen Functionen als Quotienten zusammengesetzt sind. J. Reine Angew. Math.35, 153–274 (1847); In: Mathematische Werke I, pp. 357–478. New York: Chelsea 1975

    Google Scholar 

  • [HR] Hua, L.K., Reiner, I.: On the generators of the symplectic group. Trans. Am. Math. Soc.65, 415–426 (1949)

    Google Scholar 

  • [Hu] Hurwitz, A.: Über die Anzahl der Klassen positiver ternärer quadratischer Formen von gegebener Determinante. Math. Ann.88, 26–52 (1923)

    Google Scholar 

  • [La] Lang, S.: Algebraic Number Theory, Berlin: Heidelberg, New York: Springer 1986

    Google Scholar 

  • [Ra] Rademacher, H., Grosswald, E.: Dedekind Sums. (Carus Math. Monogr., vol. 16) Washington: MAA 1972

    Google Scholar 

  • [Sch] Schellbach, K.H.: Die einfachsten periodischen Functionen. J. Reine Angew. Math. 1b (XLVIII), 207–236 (1854)

    Google Scholar 

  • [Sc1] Sczech, R.: Eisenstein group cocycles for GL2ℚ and values of L-functions in real quadratic fields. Comment. Math. Helv.67, 363–382 (1992)

    Google Scholar 

  • [Sc2] Sczech, R.: Cusps on Hilbert modular varieties and values of L-functions. In: Hashimoto, V. Namikawa, Y. (eds) Automorphic Forms and Geometry of Algebraic Varieties. (Adv. Stud. Pure Math.,15, vol. pp. 29–40) Amsterdam: North-Holland and Tokyo: Kinokuniya 1989

    Google Scholar 

  • [Sh] Shintani, T.: On evaluation of zeta functions of totally real algebraic number fields at non-positive integers. J. Fac. Sci. Univ. Tokyo23, 393–417 (1976)

    Google Scholar 

  • [Si1] Siegel, C.L.: Über die Fourierschen Koeffizienten von Modulformen. In: Gesammelte Abhandlungen IV. pp. 98–139. Berlin Heidelberg New York: Springer 1979

    Google Scholar 

  • [Si2] Siegel, C.L.: Zur Summation von L-Reihen. In: Gesammelte Abhandlungen IV, pp. 305–328. Berlin Heidelberg New York: Springer 1979

    Google Scholar 

  • [W] Weil, A.: Elliptic functions according to Eisenstein and Kronecker. Berlin, Heidelberg New York: Springer 1976

    Google Scholar 

  • [We] Weselmann, U.: An elementary identity in the theory of Hecke L-functions. Invent. Math.95, 207–214 (1989)

    Google Scholar 

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  1. Department of Mathematics, Rutgers University, 07102, New Jersey, NJ, USA

    Robert Sczech

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  1. Robert Sczech
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Oblatum 10-IX-1992 & 17-III-1993

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Sczech, R. Eisenstein group cocycles for GL n and values ofL-functions. Invent Math 113, 581–616 (1993). https://doi.org/10.1007/BF01244319

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