Positivity of $ \mathbf{L(}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{,\pi )}$ for symplectic representations

Erez Lapid; Stephen Rallis

doi:10.1016/S1631-073X(02)02217-3

Positivity of

𝐋 (\frac{1}{2}, π)

for symplectic representations
[Positivité de

L (\frac{1}{2}, π)

pour représentations simplectiques]

Erez Lapid ¹ ; Stephen Rallis ¹

¹ Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA

Comptes Rendus. Mathématique, Volume 334 (2002) no. 2, pp. 101-104.

Résumé
Abstract

Soit π une représentation cuspidale géńerique de SO(2n+1). Nous prouvons que $L (\frac{1}{2}, π) ⩾ 0$ .

Let π a cuspidal generic representation of SO(2n+1). We prove that $L (\frac{1}{2}, π) ⩾ 0$ .

Reçu le : 2001-11-05
Accepté le : 2001-11-26
Publié le : 2002-01-01

DOI : 10.1016/S1631-073X(02)02217-3

Affiliations des auteurs :

Erez Lapid ¹ ; Stephen Rallis ¹

¹ Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA

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     author = {Erez Lapid and Stephen Rallis},
     title = {Positivity of $ \mathbf{L(}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{,\pi )}$ for symplectic representations},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {101--104},
     publisher = {Elsevier},
     volume = {334},
     number = {2},
     year = {2002},
     doi = {10.1016/S1631-073X(02)02217-3},
     language = {en},
}

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Erez Lapid; Stephen Rallis. Positivity of $ \mathbf{L(}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{,\pi )}$ for symplectic representations. Comptes Rendus. Mathématique, Volume 334 (2002) no. 2, pp. 101-104. doi : 10.1016/S1631-073X(02)02217-3. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02217-3/

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