Whittaker-Shintani functions on the symplectic group of Fourier-Jacobi type
Murase, Atsushi ; Sugano, Takashi
Compositio Mathematica, Tome 80 (1991), p. 321-349 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1991-01-01
@article{CM_1991__79_3_321_0,
     author = {Murase, Atsushi and Sugano, Takashi},
     title = {Whittaker-Shintani functions on the symplectic group of Fourier-Jacobi type},
     journal = {Compositio Mathematica},
     volume = {80},
     year = {1991},
     pages = {321-349},
     mrnumber = {1121142},
     zbl = {0731.11026},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1991__79_3_321_0}
}

Murase, Atsushi; Sugano, Takashi. Whittaker-Shintani functions on the symplectic group of Fourier-Jacobi type. Compositio Mathematica, Tome 80 (1991) pp. 321-349. http://gdmltest.u-ga.fr/item/CM_1991__79_3_321_0/

[1] Böcherer, S.: Über die Funktionalgleichung automorphen L-Funktionen zur Siegelschen Modulgruppe, J. reine und angew. Math. 362 (1985) 146-168. | MR 809972 | Zbl 0565.10025

[2] Böcherer, S.: Ein Rationlitätssatz für formale Heckereichen zur Siegelschen Modulgruppe, Abh. Math. Sem. Univ. Hamburg 56 (1986) 35-47. | MR 882404 | Zbl 0613.10026

[3] Bump, D.: The Rankin-Selberg method: A survey, In Number Theory, Trace formulas and Discrete Groups, Symposium in Honor of Atle Selberg, Academic Press (1989). | MR 993311 | Zbl 0668.10034

[4] Bump, D.: Generic "spin" L-functions on GSp(6), preprint (1989).

[5] Casselmann, W. and Shalika, J.: The unramified principal series of p-adic groups II: The Whittaker function, Compositio Math. 41 (1980) 207-231. | Numdam | MR 581582 | Zbl 0472.22005

[6] Jacquet, H. and Langlands, R.: Automorphic forms on GL(2), Springer Lecture Notes in Math. 114 (1970). | MR 401654 | Zbl 0236.12010

[7] Kato, S.: On an explicit formula for class-1 Whittaker functions on split reductive groups on p-adic fields, preprint (1978).

[8] Murase, A.: L-functions attached to Jacobi forms of degree n, Part I: The basic identity, J. reine und ange. Math. 401 (1989) 122-156. | MR 1018057 | Zbl 0671.10023

[9] Murase, A.: L-functions attached to Jacobi forms of degree n, Part II: Functional equation, preprint. | Zbl 0721.11022

[10] Piatetski-Shapiro, I.I., Rallis, W.: L-functions for the Classical Groups, notes by J. Cogdell, Springer Lecture Notes in Math. 1254 (1984).

[11] I. Satake, Theory of spherical functions on reductive algebraic groups over p-adic fields, I.H.E.S. Publ. Math. 18 (1963) 5-69. | Numdam | MR 195863 | Zbl 0122.28501

[12] Shintani, T.: On an explicit formula for class-1 "Whittaker functions" on GLn over P-adic fields, Proc. Japan Acad. 52 (1976) 180-182. | MR 407208 | Zbl 0387.43002

[13] Shintani, T.: Unpublished notes.