no. 4
Kloosterman identities over a quadratic extension II
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 38 (2005) no. 4, pp. 609-669 
@article{ASENS_2005_4_38_4_609_0,
     author = {Jacquet, Herv\'e},
     title = {Kloosterman identities over a quadratic extension {II}},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {609--669},
     year = {2005},
     publisher = {Elsevier},
     volume = {Ser. 4, 38},
     number = {4},
     doi = {10.1016/j.ansens.2005.05.001},
     mrnumber = {2172953},
     zbl = {1111.11028},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/j.ansens.2005.05.001/}
}
TY  - JOUR
AU  - Jacquet, Hervé
TI  - Kloosterman identities over a quadratic extension II
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 2005
SP  - 609
EP  - 669
VL  - 38
IS  - 4
PB  - Elsevier
UR  - https://www.numdam.org/articles/10.1016/j.ansens.2005.05.001/
DO  - 10.1016/j.ansens.2005.05.001
LA  - en
ID  - ASENS_2005_4_38_4_609_0
ER  - 
%0 Journal Article
%A Jacquet, Hervé
%T Kloosterman identities over a quadratic extension II
%J Annales scientifiques de l'École Normale Supérieure
%D 2005
%P 609-669
%V 38
%N 4
%I Elsevier
%U https://www.numdam.org/articles/10.1016/j.ansens.2005.05.001/
%R 10.1016/j.ansens.2005.05.001
%G en
%F ASENS_2005_4_38_4_609_0
Jacquet, Hervé. Kloosterman identities over a quadratic extension II. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 38 (2005) no. 4, pp. 609-669. doi: 10.1016/j.ansens.2005.05.001

[1] Arthur J., Clozel L., Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula, Ann. of Math. Stud., vol. 120, Princeton University Press, Princeton, NJ, 1989. | Zbl | MR

[2] Casselman W., Shalika J., The unramified principal series of p-adic groups. II. The Whittaker function, Compositio Math. 41 (1980) 207-231. | Zbl | MR | Numdam

[3] Flicker Y., On distinguished representations, J. reine angew. Math. 418 (1991) 139-172. | Zbl | MR

[4] Goodman R., Wallach N., Representations and Invariants of the Classical Groups, Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, 1998. | Zbl | MR

[5] Harder G., Langlands R., Rapoport M., Algebraische Zyklen auf Hilbert-Blumenthal-Flächen, J. reine angew. Math. 366 (1986) 53-120. | Zbl | MR

[6] Jacquet H., Kloosterman Identities over a quadratic extension, Ann. of Math., submitted for publication. | Zbl

[7] Jacquet H., Rallis S., Kloosterman integrals for skew symmetric matrices, Pacific J. Math. 154 (2) (1992) 265-283. | Zbl | MR

[8] Jacquet H., Ye Y., Une remarque sur le changement de base quadratique, C. R. Acad. Sci. Paris Sér. I Math. 311 (1990) 671-676. | Zbl | MR

[9] Kottwitz R., Base change for unit elements of Hecke algebras, Compositio Math. 60 (1986) 237-250. | MR | Numdam

[10] Lapid E., On the fine spectral expansion of Jacquet's relative trace formula, Preprint.

[11] Lapid E., Rogawski J., Periods of Eisenstein series: the Galois case, Duke Math. J. 120 (2003) 153-226. | Zbl | MR

[12] Lapid E., Rogawski J., Stabilization of periods of integrals of Eisenstein series and Bessel distributions on GL 3 relative to U3, Doc. Math. 5 (2000) 317-350. | Zbl | MR

[13] Macdonald I.G., Symmetric Functions and Orthogonal Polynomials, Amer. Math. Soc. Univ. Lecture Ser., vol. 12, 1991. | Zbl | MR

[14] Mao Z., Rallis S., Howe duality and the trace formula, Pacific J. Math. 191 (2) (1999) 329-346. | Zbl | MR

[15] Ngô B.C., Le lemme fondamental de Jacquet et Ye en caractéristique positive, Duke Math. J. 96 (1999) 473-520. | Zbl | MR

[16] Shalika J., The multiplicity one theorem for GL n , Ann. of Math. 100 (2) (1974) 171-193. | Zbl | MR

[17] Shintani T., On an explicit formula for class-1 Whittaker functions on GL n over P-adic fields, Proc. Japan Acad. 52 (1976) 180-182. | Zbl | MR

[18] Ye Y., Kloosterman integrals and base change for gl2, J. reine angew. Math. 400 (1989) 57-121. | Zbl | MR

Cité par Sources :