On the residue of the Eisenstein series and the Siegel-Weil formula

Tamotsu Ikeda

Compositio Mathematica (1996)

  • Volume: 103, Issue: 2, page 183-218
  • ISSN: 0010-437X

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Ikeda, Tamotsu. "On the residue of the Eisenstein series and the Siegel-Weil formula." Compositio Mathematica 103.2 (1996): 183-218. <http://eudml.org/doc/90467>.

@article{Ikeda1996,
author = {Ikeda, Tamotsu},
journal = {Compositio Mathematica},
keywords = {Siegel-Weil formula; dual reductive pair; Weil representations; Eisenstein series; residue},
language = {eng},
number = {2},
pages = {183-218},
publisher = {Kluwer Academic Publishers},
title = {On the residue of the Eisenstein series and the Siegel-Weil formula},
url = {http://eudml.org/doc/90467},
volume = {103},
year = {1996},
}

TY - JOUR
AU - Ikeda, Tamotsu
TI - On the residue of the Eisenstein series and the Siegel-Weil formula
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 103
IS - 2
SP - 183
EP - 218
LA - eng
KW - Siegel-Weil formula; dual reductive pair; Weil representations; Eisenstein series; residue
UR - http://eudml.org/doc/90467
ER -

References

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  2. 2 Ikeda, T.: On the theory of Jacobi forms and Fourier-Jacobi coefficients of Eisenstein series, J. Math. Kyoto Univ.34-3 (1994) 615-636. Zbl0822.11041MR1295945
  3. 3 Kudla, S. and Rallis, S.: On Weil-Siegel formula, J. Reine Angew. Math.387 (1988) 1-68. Zbl0644.10021MR946349
  4. 4 Kudla, S. and Rallis, S.: On Weil-Siegel formula II : the isotropic convergent case, J. Reine Angew Math.391 (1988) 25-45. Zbl0644.10022MR961164
  5. 5 Kudla, S. and Rallis, S.: On the poles of Eisenstein series, Israel Mathematical Conference Proceedings, Vol. 3 (1990) 81-110. Zbl0712.11029
  6. 6 Kudla, S. and Rallis, S.: Degenerate principal series and invariant distributions, Israel Journal of Math.69 (1990) 25-45. Zbl0708.22005MR1046171
  7. 7 Kudla, S. and Rallis, S.: Ramified degenerate principal series representations for Spn, Israel J. Math.78 (1992) 209-256. Zbl0787.22019MR1194967
  8. 8 Kudla, S. and Rallis, S.: A regularlized Siegel-Weil formula: the first term identity, Annals of Math.140 (1994) 1-80. Zbl0818.11024MR1289491
  9. 9 Kudla, S., Rallis, S. and Soudry, D.: On degree 5 L-function for Sp(2), Inv. Math.107 (1992) 483-541. Zbl0776.11028MR1150600
  10. 10 Langlands, R.P.: On the functional equations satisfied by Eisenstein series, Lecture Notes in Math.544. Zbl0332.10018
  11. 11 Lai, K.F.: Tamagawa number of reductive algebraic groups, Comp. Math.41 (1980) 153-188. Zbl0416.20035MR581580
  12. 12 Moeglin, C., Vigneras, M.-F. and Waldspurger, J.-L.: Correspondence de Howe sur un corps p-adiques, Lecture Notes in Math.1291. 
  13. 13 Piatetski-Shapiro, I.I.: On the Saito-Kurokawa liftings, Inv. Math.71 (1983) 309-338. Zbl0515.10024MR689647
  14. 14 Piatetski-Shapiro, I.I. and Rallis, S.: L-functions for the classical groups, Lecture Notes in Math.1254, 1-52. 
  15. 15 Piatetski-Shapiro, I.I. and Rallis, S.: ε-factors of representations of classical groups, Proc. Nat. Acad. Science83 (1986) 4589—4953. Zbl0599.12012
  16. 16 Rallis, S.: L-functions and the oscillator representation, Lecture Notes in Math.1245. Zbl0605.10016
  17. 17 Rallis, S.: On the Howe duality conjecture, Comp. Math.51 (1984) 333-399. Zbl0624.22011MR743016
  18. 18 Rallis, S.: Poles of standard L-functions, Proceedings of ICM, KyotoSpringer (1990) 833-845. Zbl0744.11028MR1159270
  19. 19 Rallis, S. and Shiffmann, G.: Representations supercuspidales du groupe métaplectique, J. Math. Kyoto Univ.17-3 (1977) 567-603. Zbl0398.22023MR498395
  20. 20 Shimura, G.: On Eisenstein series, Duke Math.50 (1983) 417-476. Zbl0519.10019MR705034
  21. 21 Shimura, G.: On Eisenstein series of half-integral weight, Duke Math.52 (1985) 281-314. Zbl0577.10025MR792175
  22. 22 Tits, J.: Reductive groups over local fields, Proc. Symp. in Pure Math.33-1, 29-69. Zbl0415.20035MR546588
  23. 23 Weil, A.: Adeles and algebraic groups, Progress in Mathematics, Vol. 23, Birkhduser. Zbl0493.14028
  24. 24 Weil, A.: Sur la formula de Siegel dans la theorie des groupes classiques, Acta Math.113 (1965) 1-87. Zbl0161.02304MR223373

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