Geodesic
Eisenstein series on the symplectic group
Sbornik. Mathematics, Tome 32 (1977) no. 4, pp. 449-476 
V. L. Kalinin. Eisenstein series on the symplectic group. Sbornik. Mathematics, Tome 32 (1977) no. 4, pp. 449-476. http://geodesic.mathdoc.fr/item/SM_1977_32_4_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper analytic continuation and functional equations are proved for Eisenstein series on the symplectic group associated to forms that are not cusp forms. Bibliography: 9 titles.

[1] A. N. Andrianov, “Simmetricheskie kvadraty dzeta-funktsii zigelevykh modulyarnykh form roda 2”, Trudy matem. in-ta im. V. A. Steklova, CXLII (1976), 22–45 | MR

[2] N. Burbaki, Gruppy i algebry Li, glavy IV–VI, izd-vo «Mir», Moskva, 1972 | MR

[3] N. Dzhekobson, Algebry Li, izd-vo «Mir», Moskva, 1964 | MR

[4] H. Jacquet, “Fonctions de Whittaker associees aux groupes de Chevalley”, Bull. Soc. Math. France, 95:3 (1967), 243–309 | MR | Zbl

[5] G. Kaufhold, “Dirichletsche Reihe mit Funktionalgleichung in der Theorie der Modulfunktion 2 Grades”, Math. Ann., 137:5 (1959), 454–476 | DOI | MR | Zbl

[6] R. P. Langlands, On the functional equations satisfied by Eisenstein series, preprint | MR

[7] R. P. Lenglends, “Ob'em fundamentalnoi oblasti dlya nekotorykh arifmeticheskikh podgrupp grupp Shevalle”, Arifmeticheskie gruppy i avtomorfnye funktsii, izd-vo «Mir», Moskva, 1969, 80–88 | MR

[8] R. P. Lenglends, “Ryady Eizenshteina”, Arifmeticheskie gruppy i avtomorfnye funktsii, izd-vo «Mir», Moskva, 1969, 196–200 | MR

[9] Kharish-Chandra, Avtomorfnye formy na poluprostykh gruppakh Li, izd-vo «Mir», Moskva, 1971 | MR