Non-existence of singular cusp forms
Li, Jian-Shu
Compositio Mathematica, Tome 84 (1992), p. 43-51 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1992-01-01
@article{CM_1992__83_1_43_0,
     author = {Li, Jian-Shu},
     title = {Non-existence of singular cusp forms},
     journal = {Compositio Mathematica},
     volume = {84},
     year = {1992},
     pages = {43-51},
     mrnumber = {1168122},
     zbl = {0768.11017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1992__83_1_43_0}
}

Li, Jian-Shu. Non-existence of singular cusp forms. Compositio Mathematica, Tome 84 (1992) pp. 43-51. http://gdmltest.u-ga.fr/item/CM_1992__83_1_43_0/

[1] R. Howe, θ-series and invariant theory, Proc. Symp. Pure Math. 33, AMS, Providence, 1979. | Zbl 0423.22016

[2] R. Howe, L2-duality in the stable range (preprint).

[3] R. Howe, A notion of rank for unitary representations of classical groups, C.I.M.E. Summer School on Harmonic analysis, Cortona, 1980.

[4] R. Howe, Automorphic forms of low rank, in: Non-Commutative Harmonic Analysis, Lecture Notes in Math. 880, pp. 211-248, Springer-Verlag, 1980. | MR 644835 | Zbl 0463.10015

[5] H. Jacquet and J. Shalika, Euler products and the classification of automorphic representations, I, Amer. J. Math. 103 (1981), 499-557. | MR 618323 | Zbl 0473.12008

[6] M. Kneser, Strong approximation, Proc. Symp. Pure Math. Vol. IX, 187-196. | MR 213361 | Zbl 0201.37904

[7] J.S. Li, Singular unitary representations of classical groups, Invent. Math. 97, 237-255 (1989). | MR 1001840 | Zbl 0694.22011

[8] J.S. Li, On the classification of irreducible low rank unitary representations of classical groups, Comp. Math. 71, 29-48 (1989). | Numdam | MR 1008803 | Zbl 0694.22012

[9] J.S. Li, Distinguished cusp forms are theta series, Duke Math. J. 59, No. 1 (1989), 175-189. | MR 1016883 | Zbl 0689.10041

[10] Maass, H., Siegel's modular forms and Dirichlet series, Lecture Notes in Math. 26, Springer, 1971. | MR 344198 | Zbl 0224.10028

[11] Rallis, S. and Piatetski-Shapiro, I.I., A new way to get an Euler product, J. Reine Angew. Math. 392 (1988), 110-124. | MR 965059 | Zbl 0651.10021

[12] Piatetski-Shapiro, I., Oral communication.

[13] I. Satake, Some remarks to the preceding paper of Tsukomoto, J. Math. Soc. Japan 13, No. 4, 1961, 401-409. | MR 136663 | Zbl 0201.37102

[14] R. Scaramuzzi, A notion of rank for unitary representations of general linear groups, Thesis, Yale University, 1985. | Zbl 0704.22012