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), p. 33-90 / Harvested from Numdam

Résumé

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

Abstract

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

Détail

Publié le : 2001-01-01

MR 1871978 | Zbl 1069.11017

DOI : https://doi.org/10.24033/bsmf.2386
Classification:  11F67,  11F70,  11F72,  22E55
Mots clés: fonctions $L$, positivité, changement de base quadratique

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