[Positivité des fonctions du changement de base quadratique]
We show that certain quadratic base change -functions for are non-negative at their center of symmetry.
On montre que certaines des fonctions de obtenues par changement de base quadratique sont positives en leur centre de symétrie.
Keywords: $L$-functions, positivity, quadratic base change
Mots-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},
year = {2001},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {129},
number = {1},
doi = {10.24033/bsmf.2386},
mrnumber = {1871978},
zbl = {1069.11017},
language = {en},
url = {https://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 - https://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 https://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
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