no. 4
Symplectic periods of the continuous spectrum of GL(2n)
[Périodes Symplectiques du Spectre Continu de GL(2n)]
Yamana, Shunsuke1
1 Graduate School of Mathematics, Kyushu University, 744, Motooka, Nishi-ku, Fukuoka, 819-0395, Japan
Annales de l'Institut Fourier, Tome 64 (2014) no. 4, pp. 1561-1580.

On donne une formule pour la période symplectique d’une série d’Eisenstein pour le groupe GL(2n) et on détermine sous quelles conditions celle-ci n’est pas identiquement nulle.

We provide a formula for the symplectic period of an Eisenstein series on GL(2n) and determine when it is not identically zero.

DOI : 10.5802/aif.2890
Classification : 11F67, 11F70
Keywords: symplectic periods, intertwining periods, continuous spectrum
Mot clés : périodes symplectiques, périodes d’entrelacement, spectre continu

Yamana, Shunsuke 1

1 Graduate School of Mathematics, Kyushu University, 744, Motooka, Nishi-ku, Fukuoka, 819-0395, Japan 
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Yamana, Shunsuke. Symplectic periods of the continuous spectrum of $\mathrm{GL}(2n)$. Annales de l'Institut Fourier, Tome 64 (2014) no. 4, pp. 1561-1580. doi : 10.5802/aif.2890. https://aif.centre-mersenne.org/articles/10.5802/aif.2890/

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