On certain Euler products for SU ( 2 , 1 )

Stephen S. Kudla

Compositio Mathematica (1980)

  • Volume: 42, Issue: 3, page 321-344
  • ISSN: 0010-437X

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Kudla, Stephen S.. "On certain Euler products for SU$(2, 1)$." Compositio Mathematica 42.3 (1980): 321-344. <http://eudml.org/doc/89482>.

@article{Kudla1980,
author = {Kudla, Stephen S.},
journal = {Compositio Mathematica},
keywords = {automorphic forms; lifting; theta functions; Dirichlet series; Hecke operators; Hecke eigenforms; functional equation; analytic continuation; Langlands' principle of functoriality},
language = {eng},
number = {3},
pages = {321-344},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {On certain Euler products for SU$(2, 1)$},
url = {http://eudml.org/doc/89482},
volume = {42},
year = {1980},
}

TY - JOUR
AU - Kudla, Stephen S.
TI - On certain Euler products for SU$(2, 1)$
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 42
IS - 3
SP - 321
EP - 344
LA - eng
KW - automorphic forms; lifting; theta functions; Dirichlet series; Hecke operators; Hecke eigenforms; functional equation; analytic continuation; Langlands' principle of functoriality
UR - http://eudml.org/doc/89482
ER -

References

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  1. [1] A. Borel: Automorphic L-functions. AMS Proc. Symp. Pure Math.33 (1979), part 2, 27-61. Zbl0412.10017MR546608
  2. [2] M. Eichler: Quadratische Formen and orthogonale Gruppen. Grundlehren der mathematischen Wissenschaften, Bond 63, Springer-Verlag, BerlinHeidelberg, New York, 1974. Zbl0277.10017MR351996
  3. [3] R. Howe: θ-Series and invariant theory, AMS Proc. Symp. Pure Math.33 (1979) part 1, 275-285. Zbl0423.22016
  4. [4] S. Kudla: On certain arithmetic automorphic forms for SU(1, q). Inventiones Math.52 (1979), 1-25. Zbl0408.10016MR532744
  5. [5] R.P. Langlands: Problems in the theory of automorphic forms. Lectures in Modern Analysis and Applications. Lecture Notes in Math, 170, Springer, New York, 1970, 18-86. Zbl0225.14022MR302614
  6. [6] W. Li: Newforms and functional equations. Math. Ann.212 (1975), 285-315. Zbl0278.10026MR369263
  7. [7] Piatetski-Shapiro: Tate theory for reductive groups, to appear in Proceedings of International Congress of Mathematicians, Helsinki, 1978. 
  8. [8] S. Rallis: The Eichler commutation relation and the continuous spectrum of the Weil representation, Proc. of Conference on Non-commutative Harmonic Analysis. Lecture Notes in Math.728, Springer, New York, 1979, 211-244. Zbl0482.10032MR548332
  9. [9] S. Rallis: Langlands' functoriality and the Weil representation (preprint 1979). Zbl0532.22016MR658543
  10. [10] G. Shimura: The arithmetic of unitary groups. Ann. Math.79 (1964), 369-409. Zbl0144.29504MR158882
  11. [11] G. Shimura: Introduction to the Arithmetic Theory of Automorphic Forms. Publ. Math. Soc. Japan, No. 11, Iwanami Shoten, Publishers and Princeton University Press, 1971. Zbl0221.10029MR314766
  12. [12] T. Shintani: On automorphic forms on unitary groups of order 3 (preprint, 1979). MR546611

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