Rankin triple L functions

I. Piatetski-Shapiro; Stephen Rallis

Compositio Mathematica (1987)

  • Volume: 64, Issue: 1, page 31-115
  • ISSN: 0010-437X

How to cite


Piatetski-Shapiro, I., and Rallis, Stephen. "Rankin triple L functions." Compositio Mathematica 64.1 (1987): 31-115. <http://eudml.org/doc/89870>.

author = {Piatetski-Shapiro, I., Rallis, Stephen},
journal = {Compositio Mathematica},
keywords = {orbit structure; intertwining operators; Rankin triple L functions. Langland's L-function; integral representation; Eisenstein series; analytic continuation; poles},
language = {eng},
number = {1},
pages = {31-115},
publisher = {Martinus Nijhoff Publishers},
title = {Rankin triple L functions},
url = {http://eudml.org/doc/89870},
volume = {64},
year = {1987},

AU - Piatetski-Shapiro, I.
AU - Rallis, Stephen
TI - Rankin triple L functions
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 64
IS - 1
SP - 31
EP - 115
LA - eng
KW - orbit structure; intertwining operators; Rankin triple L functions. Langland's L-function; integral representation; Eisenstein series; analytic continuation; poles
UR - http://eudml.org/doc/89870
ER -


  1. [Ca] W. Casselman: Introduction to the theory of admissible representations of p-adic groups, preprint. 
  2. [G] P. Garrett: Decomposition of Eisenstein Series: Rankin Triple Products, preprint. Zbl0625.10020MR881269
  3. [Gu] R. Gustafson: The Degenerate Principal Series for Sp(2n), Ph.D. Thesis Yale (1979). Zbl0482.22013
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  5. [J-P-S] H. Jacquet, I. Piatetski-Shapiro and J. Shalika: Rankin-Selberg Convolutions, Amer. Jour. of Math.105 (1979) pp. 367-464. Zbl0525.22018MR701565
  6. [K-V] M. Kashiwara and M. Vergne: On the Segal-Shale-Weil representations and harmonic polynomials, Inv. Math.44 (1978) 1-47. Zbl0375.22009MR463359
  7. [L] R. Langlands: Euler Products, Yale Mathematicae Monographs 1, Yale University Press (1971). Zbl0231.20016MR419366
  8. [P] I. Piatetski-Shapiro: Euler subgroups. In: Lie Groups and Their Representations, Budapest (1971) pp. 597-620. Zbl0329.20028MR406935
  9. [P-R-(I)] I. Piateski-Shapiro and S. Rallis: L-functions of automorphic forms on simple classical groups. In: R. Rankin (ed.) Modular Forms, Ellis Horwood (1983) pp. 251-263. Zbl0566.10022MR803369
  10. [P-R-(II)] I. Piatetski-Shapiro and S. Rallis: L-functions in Classical Groups (notes at Institute for Advanced Study in 1983-1984), pp. 1-82. 
  11. [P-R-(III)] I. Piatetski-Shapiro and S. Ralls: ε-factors of representations of classical groups, Proc. Nat. Acad. Sciences83 (1986) pp. 4589-4953. Zbl0599.12012
  12. [Sh] F. Shahidi: On certain L-functions, Amer. Jour. of Math.103 (1981) 297-356. Zbl0467.12013MR610479

Citations in EuDML Documents

  1. Dipendra Prasad, Trilinear forms for representations of GL ( 2 ) and local ϵ -factors
  2. Tamotsu Ikeda, On the location of poles of the triple L -functions
  3. Yuval Z. Flicker, Twisted tensors and Euler products
  4. Henry H. Kim, The residual spectrum of S p 4
  5. Benedict H. Gross, Stephen S. Kudla, Heights and the central critical values of triple product L -functions
  6. Yuval Z. Flicker, A Fourier summation formula for the symmetric space GL ( n ) / GL ( n - 1 )
  7. Stephen S. Kudla, Derivatives of Eisenstein series and generating functions for arithmetic cycles

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