On the residue of the Eisenstein series and the Siegel-Weil formula
Ikeda, Tamotsu
Compositio Mathematica, Tome 104 (1996), p. 183-218 / Harvested from Numdam
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Publié le : 1996-01-01
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     author = {Ikeda, Tamotsu},
     title = {On the residue of the Eisenstein series and the Siegel-Weil formula},
     journal = {Compositio Mathematica},
     volume = {104},
     year = {1996},
     pages = {183-218},
     mrnumber = {1411571},
     zbl = {0863.11034},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1996__103_2_183_0}
}

Ikeda, Tamotsu. On the residue of the Eisenstein series and the Siegel-Weil formula. Compositio Mathematica, Tome 104 (1996) pp. 183-218. http://gdmltest.u-ga.fr/item/CM_1996__103_2_183_0/

1 Ikeda, T.: On the location of poles of the triple L-functions, Comp. Math. 83 (1992) 187-237. | Numdam | MR 1174424 | Zbl 0773.11035

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. | MR 1295945 | Zbl 0822.11041

3 Kudla, S. and Rallis, S.: On Weil-Siegel formula, J. Reine Angew. Math. 387 (1988) 1-68. | MR 946349 | Zbl 0644.10021

4 Kudla, S. and Rallis, S.: On Weil-Siegel formula II : the isotropic convergent case, J. Reine Angew Math. 391 (1988) 25-45. | MR 961164 | Zbl 0644.10022

5 Kudla, S. and Rallis, S.: On the poles of Eisenstein series, Israel Mathematical Conference Proceedings, Vol. 3 (1990) 81-110. | Zbl 0712.11029

6 Kudla, S. and Rallis, S.: Degenerate principal series and invariant distributions, Israel Journal of Math. 69 (1990) 25-45. | MR 1046171 | Zbl 0708.22005

7 Kudla, S. and Rallis, S.: Ramified degenerate principal series representations for Spn, Israel J. Math. 78 (1992) 209-256. | MR 1194967 | Zbl 0787.22019

8 Kudla, S. and Rallis, S.: A regularlized Siegel-Weil formula: the first term identity, Annals of Math. 140 (1994) 1-80. | MR 1289491 | Zbl 0818.11024

9 Kudla, S., Rallis, S. and Soudry, D.: On degree 5 L-function for Sp(2), Inv. Math. 107 (1992) 483-541. | MR 1150600 | Zbl 0776.11028

10 Langlands, R.P.: On the functional equations satisfied by Eisenstein series, Lecture Notes in Math. 544. | Zbl 0332.10018

11 Lai, K.F.: Tamagawa number of reductive algebraic groups, Comp. Math. 41 (1980) 153-188. | Numdam | MR 581580 | Zbl 0416.20035

12 Moeglin, C., Vigneras, M.-F. and Waldspurger, J.-L.: Correspondence de Howe sur un corps p-adiques, Lecture Notes in Math. 1291.

13 Piatetski-Shapiro, I.I.: On the Saito-Kurokawa liftings, Inv. Math. 71 (1983) 309-338. | MR 689647 | Zbl 0515.10024

14 Piatetski-Shapiro, I.I. and Rallis, S.: L-functions for the classical groups, Lecture Notes in Math. 1254, 1-52.

15 Piatetski-Shapiro, I.I. and Rallis, S.: ε-factors of representations of classical groups, Proc. Nat. Acad. Science 83 (1986) 4589-4953. | Zbl 0599.12012

16 Rallis, S.: L-functions and the oscillator representation, Lecture Notes in Math. 1245. | Zbl 0605.10016

17 Rallis, S.: On the Howe duality conjecture, Comp. Math. 51 (1984) 333-399. | Numdam | MR 743016 | Zbl 0624.22011

18 Rallis, S.: Poles of standard L-functions, Proceedings of ICM, Kyoto Springer (1990) 833-845. | MR 1159270 | Zbl 0744.11028

19 Rallis, S. and Shiffmann, G.: Representations supercuspidales du groupe métaplectique, J. Math. Kyoto Univ. 17-3 (1977) 567-603. | MR 498395 | Zbl 0398.22023

20 Shimura, G.: On Eisenstein series, Duke Math. 50 (1983) 417-476. | MR 705034 | Zbl 0519.10019

21 Shimura, G.: On Eisenstein series of half-integral weight, Duke Math. 52 (1985) 281-314. | MR 792175 | Zbl 0577.10025

22 Tits, J.: Reductive groups over local fields, Proc. Symp. in Pure Math. 33-1, 29-69. | MR 546588 | Zbl 0415.20035

23 Weil, A.: Adeles and algebraic groups, Progress in Mathematics, Vol. 23, Birkhduser. | Zbl 0493.14028

24 Weil, A.: Sur la formula de Siegel dans la theorie des groupes classiques, Acta Math. 113 (1965) 1-87. | MR 223373 | Zbl 0161.02304