@article{BSMF_1993__121_1_91_0,
author = {Friedberg, Solomon and Goldfeld, Dorian M.},
title = {Mellin transforms of Whittaker functions},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
volume = {121},
year = {1993},
pages = {91-107},
doi = {10.24033/bsmf.2201},
mrnumber = {94f:22013},
zbl = {0781.11022},
language = {en},
url = {http://dml.mathdoc.fr/item/BSMF_1993__121_1_91_0}
}
Friedberg, Solomon; Goldfeld, Dorian. Mellin transforms of Whittaker functions. Bulletin de la Société Mathématique de France, Tome 121 (1993) pp. 91-107. doi : 10.24033/bsmf.2201. http://gdmltest.u-ga.fr/item/BSMF_1993__121_1_91_0/
[B] . - Automorphic Forms on GL(3, ℝ), Lecture Notes in Math., 1083, 1984, Springer Verlag. | MR 86g:11028 | Zbl 0543.22005
[BF1] and . - On Mellin transforms of unramified Whittaker functions on GL(3, ℂ), J. Math. Anal. Appl., t. 139, 1989, p. 205-216. | MR 90k:22009 | Zbl 0675.33008
[BF2] and . - The exterior square automorphic L-functions on GL(n), Israel Math. Conf. Proc., t. 3, 1990, p. 47-65. | MR 93d:11050 | Zbl 0712.11030
[BFG] and and . - Poincaré series and Kloosterman sums for SL(3, ℤ), Acta Arith., t. 50, 1988, p. 31-89. | MR 89j:11047 | Zbl 0647.10020
[EL] and . - The distribution of the number of summands in the partitions of a positive integer, Duke Math. J., t. 8, 1941, p. 335-345. | JFM 67.0126.02 | MR 3,69a | Zbl 0025.10703
[F] . - Poincaré series for GL(n) : Fourier expansion, Kloosterman sums, and algebreo-geometric estimates, Math. Z., t. 196, 1987, p. 165-188. | MR 88m:11032 | Zbl 0612.10020
[G] . - Kloosterman zeta functions for GL(n, ℤ), Proc. Intern. Cong. Math., 1986, p. 417-424. | MR 89k:11039 | Zbl 0667.10027
[HC] . - Spherical functions on a semisimple Lie group I, Amer. J. Math., t. 80, 1958, p. 241-310. | MR 20 #925 | Zbl 0093.12801
[H] . - Groups and Geometric Analysis. - Academic Press, 1984. | MR 86c:22017 | Zbl 0543.58001
[J] . - Fonctions de Whittaker associées aux groupes de Chevalley, Bull. Soc. Math. France, t. 95, 1967, p. 243-309. | Numdam | MR 42 #6158 | Zbl 0155.05901
[JS1] and . - Exterior square L-functions, in Automorphic Forms, Shimura Varieties, and L-functions, Academic Press, 1990, pp. 143-226. | MR 91g:11050 | Zbl 0695.10025
[JS2] and . - On Euler products and the classification of automorphic representations I, Amer. J. Math., t. 103, 1981, p. 499-558. | MR 82m:10050a | Zbl 0473.12008
[Sc] . - Intégrales d'enterlacement et fonctions de Whittaker, Bull. Soc. Math. France, t. 99, 1971, p. 3-72. | Numdam | MR 47 #400 | Zbl 0223.22017
[Sta] . - On explicit integral formulas for GL(n, ℝ) - Whittaker functions, Duke Math. J., t. 60, 1990, p. 313-362. | MR 92a:11060 | Zbl 0731.11027
[Ste] . - Poincaré series on GL(r) and Kloosterman sums, Math. Ann., t. 277, 1987, p. 25-51. | MR 88m:11031 | Zbl 0597.12017