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On Eisenstein series for Siegel modular groups. (English) Zbl 0482.10026


MSC:

11F27 Theta series; Weil representation; theta correspondences
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[1] H. Klingen: Zum Darstellungssatz fur Siegelsehe Modulformen. Math. Zeit., 102, 30-43 (1967). · Zbl 0155.40401 · doi:10.1007/BF01110283
[2] N. Kurokawa: Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two. Invent. Math., 49, 149-165 (1978). · Zbl 0397.10018 · doi:10.1007/BF01403084
[3] N. Kurokawa: Congruences between Siegel modular forms of degree two. Proc. Japan Acad., 55A, 417-422 (1979). · Zbl 0454.10016 · doi:10.3792/pjaa.55.417
[4] N. Kurokawa: On Siegel eigenforms. ibid., 57A, 47-50 (1981). · Zbl 0482.10025 · doi:10.3792/pjaa.57.47
[5] R. P. Langlands: On the functional equations satisfied by Eisenstein series. Lect. Notes in Math., vol. 544, Springer-Verlag (1976). · Zbl 0332.10018 · doi:10.1007/BFb0079929
[6] H. Maass: Die Primzahlen in der Theorie der Siegelschen Modulfunktionen. Math. Ann., 124, 87-122 (1951). · Zbl 0044.30901 · doi:10.1007/BF01343553
[7] H. Maass: Die Fourierkoeffizienten der Eisensteinreihen zweiten Grades. Dan. Vid. Selsk., 34, nr. 7 (1964). · Zbl 0132.06402
[8] H. Maass: Uber die Fourierkoeffizienten der Eisensteinreihen zweiten Grades. Dan. Vid. Selsk., 38, nr. 14 (1972). · Zbl 0244.10023
[9] S. Raghavan: Modular forms of degree n and representation by quadratic forms. Ann. of Math., 70, 446-477 (1959). JSTOR: · Zbl 0093.08002 · doi:10.2307/1970325
[10] R. A. Rankin: An 42-result for the coefficients of cusp forms. Math. Ann., 203, 239-250 (1973). · Zbl 0254.10021 · doi:10.1007/BF01629259
[11] C. L. Siegel: Einfuhrung in die Theorie der Modulfunktionen w-ten Grades. Math. Ann., 116, 617-657 (1939). · Zbl 0021.20302 · doi:10.1007/BF01597381
[12] C. L. Siegel: Uber die Fourierschen Koeffizienten der Eisensteinschen Reihen. Dan. Vid. Selsk., 34, nr. 6 (1964). · Zbl 0132.06401
[13] N. A. Zharkovskaya: The Siegel operator and Hecke operators. Funct. Anal. Appl., 8, 113-120 (1974) (English translation). · Zbl 0314.10021 · doi:10.1007/BF01078595
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