The strong multiplicity one theorem for 𝐺𝐿_{𝑛}

Moreno, Carlos J.

doi:10.1090/S0273-0979-1984-15259-5

The strong multiplicity one theorem for ${\text {GL}}_n$
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Bull. Amer. Math. Soc. 11 (1984), 180-182

References

William Casselman, On some results of Atkin and Lehner, Math. Ann. 201 (1973), 301–314. MR 337789, DOI 10.1007/BF01428197
H. Jacquet and R. P. Langlands, Automorphic forms on $\textrm {GL}(2)$, Lecture Notes in Mathematics, Vol. 114, Springer-Verlag, Berlin-New York, 1970. MR 0401654, DOI 10.1007/BFb0058988
Hervé Jacquet, Principal $L$-functions of the linear group, Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977) Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979, pp. 63–86. MR 546609
H. Jacquet, I. I. Piatetskii-Shapiro, and J. A. Shalika, Rankin-Selberg convolutions, Amer. J. Math. 105 (1983), no. 2, 367–464. MR 701565, DOI 10.2307/2374264
H. Jacquet and J. A. Shalika, On Euler products and the classification of automorphic representations. I, Amer. J. Math. 103 (1981), no. 3, 499–558. MR 618323, DOI 10.2307/2374103
H. Jacquet and J. A. Shalika, On Euler products and the classification of automorphic representations. I, Amer. J. Math. 103 (1981), no. 3, 499–558. MR 618323, DOI 10.2307/2374103
Toshitsune Miyake, On automorphic forms on $\textrm {GL}_{2}$ and Hecke operators, Ann. of Math. (2) 94 (1971), 174–189. MR 299559, DOI 10.2307/1970741
C. J. Moreno, Explicit formulas in the theory of automorphic forms, Number Theory day (Proc. Conf., Rockefeller Univ., New York, 1976) Lecture Notes in Math., Vol. 626, Springer, Berlin, 1977, pp. 73–216. MR 0476650
I. I. Piatetski-Shapiro, Multiplicity one theorems, Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977) Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979, pp. 209–212. MR 546599
Freydoon Shahidi, On nonvanishing of $L$-functions, Bull. Amer. Math. Soc. (N.S.) 2 (1980), no. 3, 462–464. MR 561534, DOI 10.1090/S0273-0979-1980-14769-2
J. A. Shalika, The multiplicity one theorem for $\textrm {GL}_{n}$, Ann. of Math. (2) 100 (1974), 171–193. MR 348047, DOI 10.2307/1971071