On montre une relation entre le terme dominant de la série en d’une courbe elliptique définie sur un corps de nombre et le terme suivant.
We show that there is a relation between the leading term at of an -function of an elliptic curve defined over an number field and the term that follows.
Publié le :
DOI : 10.5802/pmb.o-8
Mots clés : $L$-functions of elliptic curves, Birch-Swinnerton-Dyer conjecture
@article{PMB_2016____95_0, author = {Wuthrich, Christian}, title = {The sub-leading coefficient of the $L$-function of an elliptic curve}, journal = {Publications math\'ematiques de Besan\c{c}on. Alg\`ebre et th\'eorie des nombres}, pages = {95--96}, publisher = {Presses universitaires de Franche-Comt\'e}, year = {2016}, doi = {10.5802/pmb.o-8}, zbl = {1367.11057}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/pmb.o-8/} }
TY - JOUR AU - Wuthrich, Christian TI - The sub-leading coefficient of the $L$-function of an elliptic curve JO - Publications mathématiques de Besançon. Algèbre et théorie des nombres PY - 2016 SP - 95 EP - 96 PB - Presses universitaires de Franche-Comté UR - http://archive.numdam.org/articles/10.5802/pmb.o-8/ DO - 10.5802/pmb.o-8 LA - en ID - PMB_2016____95_0 ER -
%0 Journal Article %A Wuthrich, Christian %T The sub-leading coefficient of the $L$-function of an elliptic curve %J Publications mathématiques de Besançon. Algèbre et théorie des nombres %D 2016 %P 95-96 %I Presses universitaires de Franche-Comté %U http://archive.numdam.org/articles/10.5802/pmb.o-8/ %R 10.5802/pmb.o-8 %G en %F PMB_2016____95_0
Wuthrich, Christian. The sub-leading coefficient of the $L$-function of an elliptic curve. Publications mathématiques de Besançon. Algèbre et théorie des nombres (2016), pp. 95-96. doi : 10.5802/pmb.o-8. http://archive.numdam.org/articles/10.5802/pmb.o-8/
[1] On the modularity of elliptic curves over : wild 3-adic exercises, J. Amer. Math. Soc., Volume 14 (2001) no. 4, pp. 843-939 | DOI | MR | Zbl
[2] Périodes des variétés abéliennes à multiplication complexe, Ann. of Math. (2), Volume 138 (1993) no. 3, pp. 625-683 | DOI | Zbl
[3] Elliptic curves, Graduate Texts in Mathematics, 111, Springer-Verlag, New York, 2004, xxii+487 pages (With appendices by Otto Forster, Ruth Lawrence and Stefan Theisen) | MR | Zbl
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