Whittaker-Shintani functions on the symplectic group of Fourier-Jacobi type

 Access to full text

 Full (PDF)

1. [1] Böcherer, S.: Über die Funktionalgleichung automorphen L-Funktionen zur Siegelschen Modulgruppe, J. reine und angew. Math. 362 (1985) 146-168. Zbl0565.10025MR809972
2. [2] Böcherer, S.: Ein Rationlitätssatz für formale Heckereichen zur Siegelschen Modulgruppe, Abh. Math. Sem. Univ. Hamburg56 (1986) 35-47. Zbl0613.10026MR882404
3. [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). Zbl0668.10034MR993311
4. [4] Bump, D.: Generic "spin" L-functions on GSp(6), preprint (1989). 
5. [5] Casselmann, W. and Shalika, J.: The unramified principal series of p-adic groups II: The Whittaker function, Compositio Math.41 (1980) 207-231. Zbl0472.22005MR581582
6. [6] Jacquet, H. and Langlands, R.: Automorphic forms on GL(2), Springer Lecture Notes in Math. 114 (1970). Zbl0236.12010MR401654
7. [7] Kato, S.: On an explicit formula for class-1 Whittaker functions on split reductive groups on p-adic fields, preprint (1978). 
8. [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. Zbl0671.10023MR1018057
9. [9] Murase, A.: L-functions attached to Jacobi forms of degree n, Part II: Functional equation, preprint. Zbl0721.11022
10. [10] Piatetski-Shapiro, I.I., Rallis, W.: L-functions for the Classical Groups, notes by J. Cogdell, Springer Lecture Notes in Math. 1254 (1984). Zbl0566.10022
11. [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. Zbl0122.28501MR195863
12. [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. Zbl0387.43002MR407208
13. [13] Shintani, T.: Unpublished notes.