## On an explicit formula for class-1 ”Whittaker functions” on $$GL_n$$ over $$\mathfrak p$$ -adic fields.(English)Zbl 0387.43002

### MSC:

 43A22 Homomorphisms and multipliers of function spaces on groups, semigroups, etc. 11S45 Algebras and orders, and their zeta functions
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### 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. · Zbl 0228.20015 [2] H. Jacquet: Fonctions de Whittaker associees aux groupes de Chevalley. Bull. Soc. Math. France, 95, 243-309 (1967). · Zbl 0155.05901 [3] J. Shalika: The multiplicity one theorem for GLn. Ann. Math., 100, 171- 193 (1974). JSTOR: · Zbl 0316.12010 [4] T. Tamagawa: On the zeta function of a division algebra. Ann. Math., 77, 387-405 (1963). JSTOR: · Zbl 0222.12018 [5] H. Weyl: Classical Groups.
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