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On an explicit formula for class-$1$ “Whittaker functions” on $GL_n $ over $\beta $-adic fields
Takuro Shintani
Source: Proc. Japan Acad. Volume 52, Number 4
(1976), 180-182.
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Permanent link to this document: http://projecteuclid.org/euclid.pja/1195518347
Mathematical Reviews number (MathSciNet): MR0407208
Zentralblatt MATH identifier: 0387.43002
Digital Object Identifier: doi:10.3792/pja/1195518347
References
[1] Iwahori-Matsumoto: On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups. Publ. Math. I. H. E. S. NA 25.
Zentralblatt MATH: 0228.20015
[2] H. Jacquet: Fonctions de Whittaker associees aux groupes de Chevalley. Bull. Soc. Math. France, 95, 243-309 (1967).
Mathematical Reviews (MathSciNet): MR271275
Zentralblatt MATH: 0155.05901
[3] J. Shalika: The multiplicity one theorem for GLn. Ann. Math., 100, 171- 193 (1974).
Mathematical Reviews (MathSciNet): MR348047
Zentralblatt MATH: 0316.12010
Digital Object Identifier: doi:10.2307/1971071
JSTOR: links.jstor.org
[4] T. Tamagawa: On the zeta function of a division algebra. Ann. Math., 77, 387-405 (1963).
Mathematical Reviews (MathSciNet): MR144928
Zentralblatt MATH: 0222.12018
Digital Object Identifier: doi:10.2307/1970221
JSTOR: links.jstor.org
[5] H. Weyl: Classical Groups.
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