Change history
18 August 2020
Correction to my paper on the poles of standard L-functions attached to Siegel modular forms.
References
Andrianov, A.N.: The multiplicative arithmetic of Siegel modular forms. Russ. Math. Surv.34, 75–148 (1979) (Engl. transl.)
Andrianov, A.N., Kalinin, V.L.: On the analytic properties of standard zeta functions of Siegel modular forms. Math. USSR, Sb.35, 1–17 (1979) (Engl. transl.)
Böcherer, S.: Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen. Math. Z.183, 21–46 (1983)
Böcherer, S.: Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen. II. Math. Z.189, 81–110 (1985)
Böcherer, S.: Über die Funktionalgleichung automorpherL-Funktionen zur Siegelschen Modulgruppe. J. Reine Angew. Math.362, 146–168 (1985)
Böcherer, S.: Siegel modular forms and theta series. Proc. Symp. Pure Math.49, Part 2, 3–17 (1989)
Borel, A.: AutomorphicL-functions. Proc. Symp. Pure Math.33, Part 2, 27–61 (1979)
Deligne, P.: Valeurs de fonctionsL et périodes d'intégrales. Proc. Symp. Pure Math.33, Part 2, 313–346 (1979)
Eichler, M.: Zur Begründung der Theorie der automorphen Funktionen in mehreren Variablen. Aequationes Math.3, 93–111 (1969)
Evdokimov, S.A.: A characterization of the Maass space of Siegel cusp forms of second degree. Math. USSR Sb.40, 125–133 (1981) (Engl. transl.)
Feit, P.: Poles and residues of Eisenstein series for symplectic and unitary groups. Mem. Am. Math. Soc.61, no. 346 (1986)
Freitag, E.: Thetareihen mit harmonischen Koeffizienten zur Siegelschen Modulgruppe. Math. Ann.254, 27–51 (1980)
Freitag, E.: Siegelsche Modulfunktionen. Grundlehren der math. Wissenschaften, 254. Berlin Heidelberg New York: Springer 1983
Garrett, P.B.: Pullbacks of Eisenstein series: applications. Prog. Math.46, 114–137 (1984)
Gelbart, S., Jacquet, H.: A relation between automorphic representations of GL(2) and GL(3). Ann. Sci. Éc. Norm. Supér11, 471–542 (1978)
Harris, M.: Special values of zeta functions attached to Siegel modular forms. Ann. Sci. Éc. Norm. Supér14, 77–120 (1981)
Klingen, H.: Zum Darstellungssatz für Siegelsche Modulformen. Math. Z.102, 30–43 (1967)
Kurokawa, N.: On Siegel eigenforms. Proc. Japan Acad.57 A, 47–50 (1981)
Langlands, R.P.: Problems in the theory of automorphic forms. (Lect. Notes Math., vol. 170, pp. 18–86) Berlin Heidelberg New York: Springer 1970
Langlands, R.P.: On the functional equations satisfied by Eisenstein series. (Lect. Notes Math., vol. 544) Berlin Heidelberg New York: Springer 1976
Maass, H.: Konstruktion von Spitzenformen beliebigen Grades mit Hilfe von Thetareihen. Math. Ann.226, 275–284 (1977)
Maass, H.: Harmonische Formen in einer Matrixvariablen. Math. Ann.252, 133–140 (1980)
Mizumoto, S.: On the secondL-functions attached to Hilbert modular forms. Math. Ann.269, 191–216 (1984)
Oda, T.: On the poles of AndrianovL-functions. Math. Ann.256, 323–340 (1981)
Piatetski-Shapiro, I., Rallis, S.:L-functions for the classical groups. (Lect. Notes Math., vol. 1254, pp. 1–52) Berlin Heidelberg New York: Springer 1987
Shimura, G.: On the holomorphy of certain Dirichlet series. Proc. Lond. Math. Soc.31, 79–98 (1975)
Shimura, G.: On the Fourier coefficients of modular forms of several variables. Nachr. Akad. Wiss. Gött. Math.-Phys. Kl. II, no. 17
Shimura, G.: On Eisenstein series. Duke Math. J.50, 417–476 (1983)
Sturm, J.: The critical values of zeta functions associated to the symplectic group. Duke Math. J.48, 327–350 (1981)
Weissauer, R.: Stabile Modulformen und Eisensteinreihen. (lect. Notes Math., vol. 1219) Berlin Heidelberg New York: Springer 1986
Zagier, D.: Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields. (Lect. Notes Math., vol. 627, pp. 105–169) Berlin Heidelberg New York: Springer 1977
Zharkovskaya, N.A.: The Siegel operator and Hecke operators. Funct. Anal. Appl.8, 113–120 (1974) (Engl. transl.)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mizumoto, Si. Poles and residues of standardL-functions attached to Siegel modular forms. Math. Ann. 289, 589–612 (1991). https://doi.org/10.1007/BF01446591
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01446591