[Positivité des fonctions du changement de base quadratique]
On montre que certaines des fonctions de obtenues par changement de base quadratique sont positives en leur centre de symétrie.
We show that certain quadratic base change -functions for are non-negative at their center of symmetry.
Keywords: $L$-functions, positivity, quadratic base change
Mot clés : fonctions $L$, positivité, changement de base quadratique
@article{BSMF_2001__129_1_33_0, 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 = {http://www.numdam.org/articles/10.24033/bsmf.2386/} }
TY - JOUR AU - Jacquet, Hervé AU - Nan, Chen TI - Positivity of quadratic base change $L$-functions JO - Bulletin de la Société Mathématique de France PY - 2001 SP - 33 EP - 90 VL - 129 IS - 1 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2386/ DO - 10.24033/bsmf.2386 LA - en ID - BSMF_2001__129_1_33_0 ER -
%0 Journal Article %A Jacquet, Hervé %A Nan, Chen %T Positivity of quadratic base change $L$-functions %J Bulletin de la Société Mathématique de France %D 2001 %P 33-90 %V 129 %N 1 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.2386/ %R 10.24033/bsmf.2386 %G en %F BSMF_2001__129_1_33_0
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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