Non-existence of singular cusp forms

Jian-Shu Li

Compositio Mathematica (1992)

  • Volume: 83, Issue: 1, page 43-51
  • ISSN: 0010-437X

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Li, Jian-Shu. "Non-existence of singular cusp forms." Compositio Mathematica 83.1 (1992): 43-51. <http://eudml.org/doc/90160>.

@article{Li1992,
author = {Li, Jian-Shu},
journal = {Compositio Mathematica},
keywords = {isometry group; cusp form; Fourier coefficient; singular automorphic forms},
language = {eng},
number = {1},
pages = {43-51},
publisher = {Kluwer Academic Publishers},
title = {Non-existence of singular cusp forms},
url = {http://eudml.org/doc/90160},
volume = {83},
year = {1992},
}

TY - JOUR
AU - Li, Jian-Shu
TI - Non-existence of singular cusp forms
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 83
IS - 1
SP - 43
EP - 51
LA - eng
KW - isometry group; cusp form; Fourier coefficient; singular automorphic forms
UR - http://eudml.org/doc/90160
ER -

References

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  2. [2] R. Howe, L2-duality in the stable range (preprint). 
  3. [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. [4] R. Howe, Automorphic forms of low rank, in: Non-Commutative Harmonic Analysis, Lecture Notes in Math.880, pp. 211-248, Springer-Verlag, 1980. Zbl0463.10015MR644835
  5. [5] H. Jacquet and J. Shalika, Euler products and the classification of automorphic representations, I, Amer. J. Math.103 (1981), 499-557. Zbl0473.12008MR618323
  6. [6] M. Kneser, Strong approximation, Proc. Symp. Pure Math. Vol. IX, 187-196. Zbl0201.37904MR213361
  7. [7] J.S. Li, Singular unitary representations of classical groups, Invent. Math.97, 237-255 (1989). Zbl0694.22011MR1001840
  8. [8] J.S. Li, On the classification of irreducible low rank unitary representations of classical groups, Comp. Math.71, 29-48 (1989). Zbl0694.22012MR1008803
  9. [9] J.S. Li, Distinguished cusp forms are theta series, Duke Math. J.59, No. 1 (1989), 175-189. Zbl0689.10041MR1016883
  10. [10] Maass, H., Siegel's modular forms and Dirichlet series, Lecture Notes in Math. 26, Springer, 1971. Zbl0224.10028MR344198
  11. [11] Rallis, S. and Piatetski-Shapiro, I.I., A new way to get an Euler product, J. Reine Angew. Math.392 (1988), 110-124. Zbl0651.10021MR965059
  12. [12] Piatetski-Shapiro, I., Oral communication. 
  13. [13] I. Satake, Some remarks to the preceding paper of Tsukomoto, J. Math. Soc. Japan13, No. 4, 1961, 401-409. Zbl0201.37102MR136663
  14. [14] R. Scaramuzzi, A notion of rank for unitary representations of general linear groups, Thesis, Yale University, 1985. Zbl0704.22012

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