@article{BSMF_1992__120_3_263_0, author = {Jacquet, Herv\'e and Ye, Yangbo}, title = {Relative {Kloosterman} integrals for {GL(3)}}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {263--295}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {120}, number = {3}, year = {1992}, doi = {10.24033/bsmf.2187}, mrnumber = {94c:11047}, zbl = {0785.11032}, language = {en}, url = {https://www.numdam.org/articles/10.24033/bsmf.2187/} }
TY - JOUR AU - Jacquet, Hervé AU - Ye, Yangbo TI - Relative Kloosterman integrals for GL(3) JO - Bulletin de la Société Mathématique de France PY - 1992 SP - 263 EP - 295 VL - 120 IS - 3 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.2187/ DO - 10.24033/bsmf.2187 LA - en ID - BSMF_1992__120_3_263_0 ER -
%0 Journal Article %A Jacquet, Hervé %A Ye, Yangbo %T Relative Kloosterman integrals for GL(3) %J Bulletin de la Société Mathématique de France %D 1992 %P 263-295 %V 120 %N 3 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/bsmf.2187/ %R 10.24033/bsmf.2187 %G en %F BSMF_1992__120_3_263_0
Jacquet, Hervé; Ye, Yangbo. Relative Kloosterman integrals for GL(3). Bulletin de la Société Mathématique de France, Tome 120 (1992) no. 3, pp. 263-295. doi : 10.24033/bsmf.2187. https://www.numdam.org/articles/10.24033/bsmf.2187/
[A-C] Simple algebras, base change and the advanced theory of the trace formula, Princeton University Press, 1989, Annals of Mathematics Studies, 120. | MR | Zbl
and . -[G] Kloosterman zeta functions for GL (n, Z), Proc. Intern. Cong. Math. Berkeley, t. 1, 1986, p. 417-424. | MR | Zbl
. -[H-L-R] Algebraische Zyklen auf Hilbert-Blumenthal Fläachen, J. Math., t. 366, 1986, p. 53-120. | MR | Zbl
, and . -[J] On the non vanishing of some L-functions, Proc. Indian Acad. Sci. Math. Sci., t. 97, 1987, p. 117-155. | MR | Zbl
. -[J-Y] Une remarque sur le changement de base quadratique, C.R. Acad. Sci. Paris, t. 311, 1990, p. 671-676. | MR | Zbl
et . -[S] Some results on algebraic groups with involutions, Adv. Stud. Math., Tokyo, t. 6, 1984, p. 323-343.
. -[Y] Kloosterman integrals and base change for GL (2), J. Reine Angew. Math., t. 400, 1989, p. 57-121. | MR | Zbl
. -[Z] Modular forms associted to real quadratic fields, Invent. Math., t. 30, 1975, p. 1-46. | MR | Zbl
. -- Bessel functions and Kloosterman integrals on GL(n), Journal of Functional Analysis, Volume 286 (2024) no. 4, p. 110267 | DOI:10.1016/j.jfa.2023.110267
- Multiplicities and Plancherel formula for the space of nondegenerate Hermitian matrices, Journal of Number Theory, Volume 230 (2022), p. 5 | DOI:10.1016/j.jnt.2021.06.001
- Relative trace formulae toward Bessel and Fourier–Jacobi periods on unitary groups, Manuscripta Mathematica, Volume 145 (2014) no. 1-2, p. 1 | DOI:10.1007/s00229-014-0666-x
- On representations distinguished by unitary groups, Publications mathématiques de l'IHÉS, Volume 115 (2012) no. 1, p. 185 | DOI:10.1007/s10240-012-0040-z
- Constructible exponential functions, motivic Fourier transform and transfer principle, Annals of Mathematics, Volume 171 (2010) no. 2, p. 1011 | DOI:10.4007/annals.2010.171.1011
- Fonctions constructibles exponentielles, transformation de Fourier motivique et principe de transfert, Comptes Rendus. Mathématique, Volume 341 (2005) no. 12, p. 741 | DOI:10.1016/j.crma.2005.10.008
- Smooth transfer of Kloosterman integrals, Duke Mathematical Journal, Volume 120 (2003) no. 1 | DOI:10.1215/s0012-7094-03-12015-3
- Spherical Bessel Functions of GL2(Fq2), Journal of Number Theory, Volume 87 (2001) no. 1, p. 154 | DOI:10.1006/jnth.2000.2576
- Applications of Bruhat decompositions to complex hyperbolic geometry, The Journal of Geometric Analysis, Volume 10 (2000) no. 3, p. 435 | DOI:10.1007/bf02921944
- Le lemme fondamental de Jacquet et Ye en caractéristique positive, Duke Mathematical Journal, Volume 96 (1999) no. 3 | DOI:10.1215/s0012-7094-99-09615-1
- Identities of incomplete Kloosterman sums, Proceedings of the American Mathematical Society, Volume 127 (1999) no. 9, p. 2591 | DOI:10.1090/s0002-9939-99-05037-6
- Exponential Sums forGL(n) and Their Applications to Base Change, Journal of Number Theory, Volume 68 (1998) no. 1, p. 112 | DOI:10.1006/jnth.1997.2196
- A Kloosterman sum in a relative trace formula for 𝐺𝐿₄, Representation Theory of the American Mathematical Society, Volume 2 (1998) no. 10, p. 370 | DOI:10.1090/s1088-4165-98-00049-1
- A hyper-Kloosterman sum identity, Science in China Series A: Mathematics, Volume 41 (1998) no. 11, p. 1158 | DOI:10.1007/bf02871978
- Le lemme fondamental de Jacquet et Ye en caractéristiques égales, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Volume 325 (1997) no. 3, p. 307 | DOI:10.1016/s0764-4442(97)83961-4
- Distinguished representations and quadratic base change for 𝐺𝐿(3), Transactions of the American Mathematical Society, Volume 348 (1996) no. 3, p. 913 | DOI:10.1090/s0002-9947-96-01549-8
- The continuous spectrum of the relative trace formula for GL(3) over a quadratic extension, Israel Journal of Mathematics, Volume 89 (1995) no. 1-3, p. 1 | DOI:10.1007/bf02808192
- An integral transform and its applications, Mathematische Annalen, Volume 300 (1994) no. 1, p. 405 | DOI:10.1007/bf01450494
- A trace formula for symmetric spaces, Duke Mathematical Journal, Volume 70 (1993) no. 2 | DOI:10.1215/s0012-7094-93-07006-8
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