Positivity of quadratic base change L-functions
[Positivité des fonctions L du changement de base quadratique]
Bulletin de la Société Mathématique de France, Tome 129 (2001) no. 1, pp. 33-90.

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.

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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     title = {Positivity of quadratic base change $L$-functions},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
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     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {129},
     number = {1},
     year = {2001},
     doi = {10.24033/bsmf.2386},
     mrnumber = {1871978},
     zbl = {1069.11017},
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}
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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. http://www.numdam.org/articles/10.24033/bsmf.2386/

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