Positivity of quadratic base change $L$-functions

Jacquet, Hervé; Nan, Chen

doi:10.24033/bsmf.2386

Positivity of quadratic base change

L

-functions
[Positivité des fonctions

L

du changement de base quadratique]

Jacquet, Hervé ; Nan, Chen

Bulletin de la Société Mathématique de France, Tome 129 (2001) no. 1, pp. 33-90.

Résumé
Abstract

On montre que certaines des fonctions $L$ de $Gl (2)$ obtenues par changement de base quadratique sont positives en leur centre de symétrie.

We show that certain quadratic base change $L$ -functions for $Gl (2)$ are non-negative at their center of symmetry.

MR Zbl

DOI : 10.24033/bsmf.2386

Classification : 11F67, 11F70, 11F72, 22E55
Keywords:

L

-functions, positivity, quadratic base change
Mot clés : fonctions

L

, positivité, changement de base quadratique

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     author = {Jacquet, Herv\'e and Nan, Chen},
     title = {Positivity of quadratic base change $L$-functions},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {33--90},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {129},
     number = {1},
     year = {2001},
     doi = {10.24033/bsmf.2386},
     mrnumber = {1871978},
     zbl = {1069.11017},
     language = {en},
     url = {https://www.numdam.org/articles/10.24033/bsmf.2386/}
}

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Jacquet, Hervé; Nan, Chen. Positivity of quadratic base change $L$-functions. Bulletin de la Société Mathématique de France, Tome 129 (2001) no. 1, pp. 33-90. doi : 10.24033/bsmf.2386. https://www.numdam.org/articles/10.24033/bsmf.2386/

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