Mellin transforms of Whittaker functions
Bulletin de la Société Mathématique de France, Tome 121 (1993) no. 1, pp. 91-107.
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     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},
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     zbl = {0781.11022},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/bsmf.2201/}
}
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Friedberg, Solomon; Goldfeld, Dorian. Mellin transforms of Whittaker functions. Bulletin de la Société Mathématique de France, Tome 121 (1993) no. 1, pp. 91-107. doi : 10.24033/bsmf.2201. http://archive.numdam.org/articles/10.24033/bsmf.2201/

[B] Bump (D.). - Automorphic Forms on GL(3, ℝ), Lecture Notes in Math., 1083, 1984, Springer Verlag. | MR | Zbl

[BF1] Bump (D.) and Friedberg (S.). - On Mellin transforms of unramified Whittaker functions on GL(3, ℂ), J. Math. Anal. Appl., t. 139, 1989, p. 205-216. | MR | Zbl

[BF2] Bump (D.) and Friedberg (S.). - The exterior square automorphic L-functions on GL(n), Israel Math. Conf. Proc., t. 3, 1990, p. 47-65. | MR | Zbl

[BFG] Bump (D.) and Friedberg (S.) and Goldfeld (D.). - Poincaré series and Kloosterman sums for SL(3, ℤ), Acta Arith., t. 50, 1988, p. 31-89. | MR | Zbl

[EL] Erdös (P.) and Lehner (J.). - 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

[F] Friedberg (S.). - Poincaré series for GL(n) : Fourier expansion, Kloosterman sums, and algebreo-geometric estimates, Math. Z., t. 196, 1987, p. 165-188. | MR | Zbl

[G] Goldfeld (D.). - Kloosterman zeta functions for GL(n, ℤ), Proc. Intern. Cong. Math., 1986, p. 417-424. | MR | Zbl

[HC] Harish-Chandra. - Spherical functions on a semisimple Lie group I, Amer. J. Math., t. 80, 1958, p. 241-310. | MR | Zbl

[H] Helgason (S.). - Groups and Geometric Analysis. - Academic Press, 1984. | MR | Zbl

[J] Jacquet (H.). - Fonctions de Whittaker associées aux groupes de Chevalley, Bull. Soc. Math. France, t. 95, 1967, p. 243-309. | Numdam | MR | Zbl

[JS1] Jacquet (H.) and Shalika (J.). - Exterior square L-functions, in Automorphic Forms, Shimura Varieties, and L-functions, Academic Press, 1990, pp. 143-226. | MR | Zbl

[JS2] Jacquet (H.) and Shalika (J.). - On Euler products and the classification of automorphic representations I, Amer. J. Math., t. 103, 1981, p. 499-558. | MR | Zbl

[Sc] Schiffmann (G.). - Intégrales d'enterlacement et fonctions de Whittaker, Bull. Soc. Math. France, t. 99, 1971, p. 3-72. | Numdam | MR | Zbl

[Sta] Stade (E.). - On explicit integral formulas for GL(n, ℝ) - Whittaker functions, Duke Math. J., t. 60, 1990, p. 313-362. | MR | Zbl

[Ste] Stevens (G.). - Poincaré series on GL(r) and Kloosterman sums, Math. Ann., t. 277, 1987, p. 25-51. | MR | Zbl

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