@article{BSMF_1993__121_1_91_0, author = {Friedberg, Solomon and Goldfeld, Dorian}, title = {Mellin transforms of {Whittaker} functions}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {91--107}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {121}, number = {1}, year = {1993}, doi = {10.24033/bsmf.2201}, mrnumber = {94f:22013}, zbl = {0781.11022}, language = {en}, url = {http://www.numdam.org/articles/10.24033/bsmf.2201/} }
TY - JOUR AU - Friedberg, Solomon AU - Goldfeld, Dorian TI - Mellin transforms of Whittaker functions JO - Bulletin de la Société Mathématique de France PY - 1993 SP - 91 EP - 107 VL - 121 IS - 1 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2201/ DO - 10.24033/bsmf.2201 LA - en ID - BSMF_1993__121_1_91_0 ER -
%0 Journal Article %A Friedberg, Solomon %A Goldfeld, Dorian %T Mellin transforms of Whittaker functions %J Bulletin de la Société Mathématique de France %D 1993 %P 91-107 %V 121 %N 1 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.2201/ %R 10.24033/bsmf.2201 %G en %F BSMF_1993__121_1_91_0
Friedberg, Solomon; Goldfeld, Dorian. Mellin transforms of Whittaker functions. Bulletin de la Société Mathématique de France, Volume 121 (1993) no. 1, pp. 91-107. doi : 10.24033/bsmf.2201. http://www.numdam.org/articles/10.24033/bsmf.2201/
[B] Automorphic Forms on GL(3, ℝ), Lecture Notes in Math., 1083, 1984, Springer Verlag. | MR | Zbl
. -[BF1] On Mellin transforms of unramified Whittaker functions on GL(3, ℂ), J. Math. Anal. Appl., t. 139, 1989, p. 205-216. | MR | Zbl
and . -[BF2] The exterior square automorphic L-functions on GL(n), Israel Math. Conf. Proc., t. 3, 1990, p. 47-65. | MR | Zbl
and . -[BFG] Poincaré series and Kloosterman sums for SL(3, ℤ), Acta Arith., t. 50, 1988, p. 31-89. | MR | Zbl
and and . -[EL] The distribution of the number of summands in the partitions of a positive integer, Duke Math. J., t. 8, 1941, p. 335-345. | JFM | MR | Zbl
and . -[F] Poincaré series for GL(n) : Fourier expansion, Kloosterman sums, and algebreo-geometric estimates, Math. Z., t. 196, 1987, p. 165-188. | MR | Zbl
. -[G] Kloosterman zeta functions for GL(n, ℤ), Proc. Intern. Cong. Math., 1986, p. 417-424. | MR | Zbl
. -[HC] Spherical functions on a semisimple Lie group I, Amer. J. Math., t. 80, 1958, p. 241-310. | MR | Zbl
. -[H] Groups and Geometric Analysis. - Academic Press, 1984. | MR | Zbl
. -[J] Fonctions de Whittaker associées aux groupes de Chevalley, Bull. Soc. Math. France, t. 95, 1967, p. 243-309. | Numdam | MR | Zbl
. -[JS1] Exterior square L-functions, in Automorphic Forms, Shimura Varieties, and L-functions, Academic Press, 1990, pp. 143-226. | MR | Zbl
and . -[JS2] On Euler products and the classification of automorphic representations I, Amer. J. Math., t. 103, 1981, p. 499-558. | MR | Zbl
and . -[Sc] Intégrales d'enterlacement et fonctions de Whittaker, Bull. Soc. Math. France, t. 99, 1971, p. 3-72. | Numdam | MR | Zbl
. -[Sta] On explicit integral formulas for GL(n, ℝ) - Whittaker functions, Duke Math. J., t. 60, 1990, p. 313-362. | MR | Zbl
. -[Ste] Poincaré series on GL(r) and Kloosterman sums, Math. Ann., t. 277, 1987, p. 25-51. | MR | Zbl
. -Cited by Sources: